You haven't said whether or not you find women sexually attractive. If you don't feel desire for women, I believe you may be mixing up strong feelings for this girl with romantic love. You also did not say what her sexaul preferences are. Does she say she is bisexual, lesbian or straight? Lastly, I wonder why it important for you to have a label. Will things be any better if you have one sexual preference as opposed to another? Has this girl asked you what your sexual preference is? If so, she certainly has the right to know, especially if she is planning a life with you.
I don't believe that you HAVE TO have sex with a man and a woman to know which one you prefer or if you like both. There are plenty of straight people that are confident in their sexual persuasion without having to try the same sex and vice versa with gay people. You can certainly experiment if you like but I don't believe this is a necessity.
You know yourself better than anyone so only you can answer this question. Look inside yourself, be honest about your sexual and romantic feelings about both sexes and you will find the answer to your question.