I would respectfully say that I am a big fan I that I love her music. I don't know why fans have to screem and get all over her. I know that she is my queen but I would respect her privacy, she might have been on a date with Taylor.
After pinching myself a lot of times to know is true, i would become hypnotized by her, my gaze following every move, my body shivering, oh my god! the only idea accelerates my hearth. Talking to her would be too much for me, maybe i could stammer "Ga-ga-ga-ga-ga I lo-lo-lo-lo-lo-ve you"!.
Act like a fool before I calmly walk over and act like I wasn't just fangirling every step of the way HAHAHAHA then of course cry, take pics and buy a ticket to see whatever movie they are :)
i would go into super mega fan mod and just be mind shocked and quieltly walk up to her and say hi ad tell her how much i love her work. i wish i can meet gaga one day