She passes wind continually; does this mean she cannot go to the mosque?
Question

                Am I not allowed to pray in the mosque, because I suffer from constant emission of wind that does not have a smell? How often do I have to do wudoo' in order to offer obligatory and naafil prayers?.
Praise be to Allah.
    Firstly: 

    Emission of wind invalidates wudoo', because of the report 
    narrated by al-Bukhaari (135) from Abu Hurayrah (may Allah be pleased with 
    him), who said: The Messenger of Allah (blessings and peace of Allah be upon 
    him) said: “No prayer will be accepted from one who is in a state of minor 
    impurity until he does wudoo’.” A man from Hadramawt said: What is minor 
    impurity, O Abu Hurayrah? He said: Breaking wind silently or loudly. 

    Breaking wind is of two types: 

    1.

    Where there is a time when it stops, such as if it was coming 
    out, then it stops for a while during which one can do wudoo' and pray. In 
    this case, you have to do wudoo' and pray during the time when it stops. 

    2.

    Where it is continual and there is no time when it stops, 
    rather it may come out at any time. In this case you should do wudoo' for 
    every prayer after the time for that prayer begins, and pray the obligatory 
    prayer and whatever naafil prayers you want with this wudoo’, and whatever 
    wind comes out will not affect you, even if that is during prayer. 

    Shaykh al-Islam Ibn Taymiyah (may Allah have mercy on him) 
    said: 

    If a person cannot remain in a state of purity for the length 
    of the prayer, he should do wudoo' and pray, and it will not matter if 
    anything comes out of him during the prayer, and this wudoo' will not be 
    invalidated by that, according to the consensus of the imams. The most he 
    has to do is do wudoo' for each prayer. End quote from Majmoo’ al-Fataawa, 
    21/221. 

    It says in Fataawa al-Lajnah al-Daa’imah (5/411): 

    The basic principle is that emission of wind invalidates 
    wudoo', but if it comes out of a person constantly, he has to do wudoo' for 
    each prayer when he wants to pray, then if it comes out of him whilst he is 
    praying, it will not invalidate the prayer and he has to continue his prayer 
    until he completes it, as a concession from Allah to His slaves and so as to 
    relieve them of hardship, as Allah says (interpretation of the meaning): 

    “Allaah intends for you ease”

    [al-Baqarah 2:185] 

    “and has not laid upon you in religion any hardship”

    [al-Hajj 22:78]. 

    End quote. 

    Secondly: 

    If what comes out has an unpleasant smell, it is not 
    permissible for you to go to the mosque, because of the annoyance that this 
    will cause to the worshippers and the angels. 

    Al-Bukhaari (5452) and Muslim (564) narrated from Jaabir ibn 
    ‘Abd-Allaah that the Messenger of Allaah (blessings and peace of Allah be 
    upon him) said: “Whoever eats garlic or onions, let him keep away from us, 
    or keep away from our mosque and stay in his house.” According to a version 
    narrated by Muslim: “Whoever eats onions or garlic or leeks, let him not 
    come near our mosque, for the angels are offended by the same things that 
    offend the sons of Adam.” 

    Muslim (567) narrated that ‘Umar (may Allah be pleased with 
    him) said: O people, you eat two plants which I find to be nothing but 
    repugnant, this onion and garlic. I remember the Messenger of Allaah 
    (blessings and peace of Allah be upon him), if he noticed their smell coming 
    from a man in the mosque, he would issue orders that he taken out to 
    al-Baqee’. Whoever eats them, let him cook them to death.” 

    This indicates that it is obligatory to keep the mosque free 
    of offensive odours and to prevent the one who has such an odour from coming 
    to the mosque or staying in it. 

    It says in Kashshaaf al-Qinaa’ (2/365): It is Sunnah 
    to protect every mosque from all kinds of dirt, filth, mucus, nail clippings 
    and hair removed by clipping the moustache, shaving the head or plucking the 
    armpits, because the mosques were not built for that. It is also Sunnah to 
    protect it from offensive smells such as onion, garlic, leeks and similar 
    things, even if there is no one in the mosque, because the Prophet 
    (blessings and peace of Allah be upon him) said: “the angels are offended by 
    the same things that offend the sons of Adam.” (Narrated by Ibn Maajah); and 
    he said: “Whoever eats from these two plants, let him not come near our 
    place of prayer.” and according to another report: “…let him not come near 
    our mosques.” Narrated by al-Tirmidhi who said: It is hasan saheeh. 

    If a person who has eaten that – i.e., one who has an 
    offensive smell of garlic and onions and the like – enters the mosque, it is 
    strongly recommended to remove him, so as to remove the offensive thing. 

    By analogy, this also applies to one who passes wind from his 
    backside in the mosque, because that annoys others with the smell. So it is 
    Sunnah to protect the mosque from that and to make him leave for that 
    reason. End quote. 

    But if the wind has no offensive smell, there is no reason 
    why you should not enter the mosque and sit there. Imam al-Bukhaari (may 
    Allah have mercy on him) said in his Saheeh: Chapter on breaking 
    wudoo’ whilst in the Mosque. 

    Ibn Rajab (may Allah have mercy on him) said in Fath 
    al-Baari: 

    What he (meaning al-Bukhaari) meant was that it is 
    permissible to deliberately break one’s wudoo’ (pass wind) in the mosque 
    because the Prophet (blessings and peace of Allah be upon him) mentioned it 
    and did not forbid it, rather he stated that it interrupts the prayer of the 
    angels. 

    Al-Hasan, ‘Ata’ and Ishaaq stated that there is a concession 
    allowing deliberately breaking wudoo’ in the mosque. 

    It was stated above that it is permissible to sleep in the 
    mosque in the case of necessity, and there is no difference of opinion on 
    this point. That includes the sleep of the person who is observing i’tikaaf, 
    because it is essential to the validity of his i’tikaaf, and it is also 
    permissible in cases other than cases of necessity according to the 
    majority, and it is most likely that one may pass wind whilst sleeping. So 
    if it were not allowed to pass wind in the mosque, it would not be allowed 
    to sleep in the mosque in any situation, but this is contrary to the texts 
    and to scholarly consensus. End quote. 

    And Allah knows best.