Relationship problem please help me :(?

My girlfriend and i have been dating for almost 3months now and at the beginning we were perfect and everything was ok. im a good boyfriend i always pay for food movie tickets etc and i always open the door for her and i care about her so much and dont wana lose her she means the world to me. My girlfriend is very christian now and she is getting mad at me and has questions and thinks we never talk about anything important or have deep convos about anything and that all we talk about is random nonsense and she always questions me about god and faith and how i think one can get into heaven. She also tells me that she shouldnt be with me because its wrong and it says in the bible its wrong for her to be wit a nonbeliever even tho ive told her thats not us because i very much do believe in god and jesus and accept jesus into my heart for what all he has done for us but i havent been baptised and havent read all the bible. she makes me feel like im no good sometimes and that im not going to get into heaven because i dont know all the answers. i love her but she is making this so hard now. she doesnt hold my hand kiss me or anything anymore and barely talks to me anymore. i dont want this to end but im trying to show her god is important in my life to. she says i dont even know what i wana do with my life and that may be true i dont know but i wana be wit her and that seems okay for me right now i dont care what job i have. i may have made a mistake trying to be the too much perfect boyfriend and try to impress her alot and make her feel like shes number one in my life but its just because i care about her so much and dont wana lose her. gods important in my life too! what should i do that doesnt involve us breaking up?? please help me :( i also gave up drinking when me and her started dating and yea it was for her but alos for god because i dont wana do anything bad in my life but she thinks everything i do is for her and not for god. Also me and her do go to church together ever since we started dating. Me and her have talked about our past before we started dating. both of us have had sex before and i use to drink but gave that up for her and myself and god. I use to go to church wit my rents but when i moved out and got an apartment i admit i got lazy and didnt go to church as much but i still believe in god and everything. Ive dated a bossy girlfriend and then a cheating party all the time girl before i met this girl and she makes me feel so much better in ways i cant describe. I enjoy going to church wit her and everything was fine until now. She goes to this huge baptist church and i use to go to this methodist church.