If a guy is asking a girl out once and got answer "I will think about it", should he ask her again?

I asked her out only once, she said “I will think about it” and after that never talked with me on that issue, only flirting with me and give me pet names all the time from that point until today. I know she broke up with her boyfriend (4 years) and it is only 3–4 month after that, but she never told me that, I heard it from other people who knows her. What should I do?

I don’t like the idea of asking her again because I have my standards and I think I really worth her effort if she really wants to date with a great guy like me. Please help me to decide what to do, because I am thinking on forgetting about her and moving on with my life :(