I got a new job and they offered a wage, should I have asked for more?

So I got the exciting phone call that I was chosen for a position at this company. I was very excited cause frankly I would have done anything to get out of my current job and wasn’t about to risk losing this new job. After she told me I was chosen she then discussed the money part of things. I am okay with what they offered and was a little embarrassed to try and negotiate the wage. I feel it is a fair starting wage but did I sell myself short by not trying to ask for a little more, even as far as cents? I didn’t sign anything or finish the deal but did accept her offer. Would it be to late if it is brought up again to say I’ve reconsidered and ask for a little more? What do you guys think? I don’t want to make myself look bad and like I said what was offered did not offend me….but who doesn’t want more money? haha