An anime about a bullied girl who gets help from a "god"? I'm searching for an anime which was released between 2013 and 2014. I am not so sure, but it seemed to be a new anime. 

The plot of this anime is about a girl who has always been bullied at school. One day, when she goes to the schools toilet, she see a message on the WC door. The message comes from a boy/man/person who "is a god" (he calls himself a god). In the message, he tells the girl that he can stop the bullying and make her life better. All he wants from her is that she believes/trusts him like a god (because gods need trust/belief from humans to exist).
You're describing the plot to the first episode of Noragami

Wikipedia excerpt of the first episode:


  A god named Yato answers a five-yen prayer to defeat a phantom that has appeared above a school using his Regalia, Tomone.


Below is a picture of the main characters - the one with the sword is the God, Yato.