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Also, the events discribed in the song do not sound like something a straight girl and guy would do if they were just friends. I.e: Telling life stories, going to the park together, being at house (How else would she know that he was having an argument with his girlfriend?)
If you notice, nowhere does Swift ever say "Im the girl for you" or any other gender defining phrases. In fact, she hints that it may not be a girl.
"She wears high heels, I wear sneakers"
"She wears short skirts, I wear T-Shirts"