Do you tink she might be gay?

Sorry this is a little long, Ok so I’m a boy in high school student, and I really like this girl even though there’s a bit of an age difference (I’m seventeen, she’s fourteen, but really cute) anyway, I kinda tried everything to hint that I want to go out with her but she keeps kind of turning me down a little bit, we got into this conversation, I asked what her relationship was with her parents she pretty much told me her dads an a**, I asked her how she feels about her ex she said she hates him, to me it kinda seems like she has hate issues towards men, but on the other side of that most of her friends are guys. The second thing is I was trying to get her to t with me, she didn’t seem like she wanted to so I showed her a pic of my ’ lol thinking it would turn her on a little bit, and you know what her response was “I’m aphobic”, I mean is that even a word? Other things that I notice is that I see different girls kinda holding her hand, giving her hugs, and sitting on her lap, idk what the deal is, do you think she might be gay.