Virgo man Scorpio woman arguments

I'm a Virgo man dating a Scorpio woman. I met her at work a few months back. Things were going pretty smooth until about 2 months ago. I've never really looked into this whole horoscope what nots, but I got curious. Come to find that the Virgo personality fits me almost perfectly. Any who, it's become kind of insane because we are always arguing over the dumbest stuff and realize it after about half an hour to an hour of yelling at each other. We usually just end up brushing it off after coming to the conclusion that we really do like each other and just want to be with each other. It's now getting to a point where it feels like she can't take it any more and I'm not sure what to do about it. I don't like fighting just as much as she doesn't, but it feels like most of the time, fighting is inevitable. When we get in fights, and I start to calm down, regardless what she has done or said that was upsetting, I kind of just push it out of my mind and apologize for what I did wrong. It's extremely rare that I'll hear the words I'm sorry" from her. She and I both are extremely stubborn.

Only difference is that, I kind of come to my senses and level my head out and apologize when I'm confronted about something I did wrong or even simply just realize it. She definitely hold grudges which scares me about the future; that's considering we are gonna have one. Don't get me wrong, I do want one with her because she's everything I've always been looking for in a girl. Well minus the stubbornness, and I don't even mind that all that much. She also has it in her head that I never try to fix things. I try to tell her every time I do try and fix thing and she just won't hear any of it. I'm not sure if it's that she doesn't want to admit if she's wrong? or what it may be...

Let me know what you think or what I can do to make this thing work and happen.

~Thank you