Should I marry a girl whose first impression was not good?

a friend suggested me a girl for marriage. I approached her on facebook n introduced myself in a decent way. I sent her a msg giving my introduction, my friend's reference and the purpose of that msg. she also replied positively. but just after couple of msgs, I found that she was one yr elder than me, so I respectfully (with apologies) pointed it out. Worth to mention here that I didnot say no to further talk but she took it wrongly and got upset over it n declined my interest on this issue and the chat came to an abrupt end. I told her that it was not about a routine chatting but its about marriage and one should hav all the rights to express views freely for better understanding. now, she realised her mistake. but my problem is that I noticed in her....short temperament, rash decision, arrogance, contradictions in the information that she provided,lack of maturity and above all ego problem. the question is whether it is right to go for marriage with the girl who showed her real self in the first chatting even if she shows some nice behavior next time? should I give her a chance again or just believe that what she did last time was her real self even if she presents herself as nice and understanding?

i think you should give her a chance, she might be different than how she acted that one time. but date first dont rush and just randomly get married.