The following exchange occurs in Volume 3, Chapter 51 of the manga ReLife. 

The sequence of events is: A girl told a guy that she saw him a year or two ago and it was love at first sight. She describes seeing him being nice to a customer during his work. Then she asks him if he has a girlfriend. He says no and she continues below:

> 
> あたしが新太{あらた}君の彼女になりたいです・・・って言ったら  
> 
>  アリ・・・ナシ？
> 
> 
> 今すぐの話じゃなくてもいいの  
> 
>  可能性の話でもいいの
> 
> 
> 

I'm having difficulty with the second part. My current understanding is something like:

> 
> **Literally:**  
> 
>  It's fine if you don't have a response right now.  
> It's fine if the response is that there is a possibility. 
> 
> 
> **Figuratively:**  
> 
>  You don't have to answer right now. Just letting me know there's a possibility is good enough.
> 
> 
> 

I'm interested in the use of 話 above. I've seen 話 used like this quite often and have never fully understood it. **Is 話 a synonym for 答え in this case or does it mean something else** (perhaps it implies that two people are talking rather than just one person answering...)? Also, I'm surprised to see 話 modified directly by 可能性の. I would have expected something like 可能性のことの話 (I'm not sure why). **Is that incorrect or unnatural?**

**I'm also confused about 今すぐの.** As far as I understand, 今すぐ is a 副動詞 (adverb) and describes when a 動詞 (verb) occurred. Here, it seems to be being treated as a 名詞 (noun) and is modifying 話. **Am I missing something here?**

Also, as if to simply further my confusion, the fan translation is essentially opposite what I expected:

> 
> **Fan Translation**  
> 
>  I'd like to hear your answer as soon as possible.  
> 
>  I'd like you to decide now.
> 
> 
> 

Is that a valid translation?
Thank you for reading through all these questions.