Should I Wait?

I met a girl 4 weeks ago, she is 2 years older than me...and we kind of know each other through a exchange program, so got her number and we text quite abit even after i told her i like her. as time goes, i slowly like her and went out with her on a movie date. so one day I confessed my feelings to her, she respond positively to it and i can sense she like me too. but when i ask her if it possible for me to be her bf...she replied...no because she can't convince herself to accept someone younger than her. i got a feeling she like me but because of my age i got rejected. she also told me if one day she can convince herself to accept it, she will consider me. but i like her so much to even give up her. my heart tell me to stay put, see how things go and hope for the best cause deep inside i believe she will accept me one day. is that dumb or should i move on like my friends tell me to?