Girlfriend is not interested in being emotionally intimate with me. What should I do?

My girlfriend used to be very open with me in the first 3 months of our relationship but then we had a fight in which I said that I felt like she demanded too much of me. After that she has always been closed off and never showed her feelings. Recently (4 months after the fight) she started to open up but then another fight happened and now its the same. How should I try to encourage her to open up? Should I even try? I have literally begged her for it before because it is very important to me. I don't want to break up with her because I really love everything else about her.
Girlfriend is not interested in being emotionally intimate with me. What should I do?
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