My girlfriend (16F) called me (17M) a lustful man

I would like to start by saying that I've been out with a few girls before this one but I've never had a girlfriend and am a virgin. I also posted this on r/teenrelationships

I have been talking to this girl for one month yes I know I may have jumped the gun and rushed things with her but I really do love her and when she wants to be sweet she can be very sweet. Ever since I met her she's been going through a very difficult part of her life and is severely depressed. At the start of our talking she would give me little tidbits of information that clued me in on how bad her life was and I wouldn't really know what to say but by the second week I would say that I was extremely supportive of her and am to this day. While we were planning our first date she hinted (even though she will say she never hinted, she did) at making out in the cinema to which I got very excited at as I've only kissed one girl before her and my teeth were closed and it lasted for a second. In the cinema on the date she actually initiated the first kiss and the next few, at one point I clumsily swooped in to kiss her and just as the movie was ending I asked for one more but she said only if we can find a private place (which we never did). During the movie we would also hold hands and glide our fingers across each others skin and at one point she put my hand on her boob and I was like what are you doing and she got really pouty and said I didn't want to touch so I said yeah sure and she took my hand and put it back, I didn't squeeze or anything my hand was just there my senses were overloaded. A week later maybe she tells me that the making out in a public space made her uncomfortable. On our second date we watched obsession in the cinema but didn't do much because she was angry at me for buying flowers for her to celebrate our one month but she was embarrassed as I did it in public and she couldn't even bring the flowers home so I returned them (this I completely take as my fault as she's said she doesn't like being the center of attention in public). A few weeks pass by and I notice some extreme changes in her personality and mood (but her mother is bipolar and I think she mentioned being bipolar too). She talks more about her ex who she was with for two years and how he cheated on her and a lot of her problems today are because of him manipulating and messing up her life (she told me once that he used her for her body and she also cries because he harasses her to this day but she's the one who keeps texting him). However I've noticed that he still has quite a hold over her. She also told me (but only because I asked, however she doesn't show any sign of regret or embarrassment when saying this) that they had sex a lot and in places like a disabled bathroom and also a karaoke room however she said that she never liked it. She also told me that she saw a guy last year while she and her ex were on break after he had cheated on her and he fingered her in a restaurant underneath a jacket. Being a virgin, I was very hurt by this. She also tells me that her she grinded on her neighbour in Germany (who she will see next month by the way but she said nothing weird will happen). These past 2 weeks have been quite quite quite hard on us and she and I argue quite a bit but I always end up apologising. Yesterday night, she said very calmly that I was a lustful man and that I could never change that. She also said very subtly and quickly 'only her ex was somebody who wanted an emotional connection, just like her'. Granted, she had a very very tough day that day and we had fought earlier and even broke up for a second before I saw her tear up and I immediately apologised and said how much she meant to me and that we'd fight for this any day but I got really hurt when she said I was lustful. The reasoning she gave was that I kept asking and getting angry about the physical things she had done with other guys while she had only ever asked me whether 'I loved another girl'. I think it is hypocritical for her to call me a lustful man but what I am even more worried and sad about is if she honestly believes that I cannot be a fit for her emotionally. Again I DO NOT want to break up with her and I do love her a lot when she is sweet and nice. I now that if I do break up with her it will get better eventually but I seriously cannot go through the eventually. I know it's a red flag that she's hung up on her ex but sometimes she can be so sweet and she also realises how her ex messed her life up.

If there are any holes in my story please point them out and I will truthfully fill up the holes, I'm sorry if this doesn't read well as Im not great at writing.