Hi, Dan...and welcome to PC.

You know.....It's always been my belief that relationships begin on trust, and it's the distrust which is earned. So, yeah. I would think that there are women out there who would give you a fair chance, despite of your history.
We all make mistakes, sometimes repeating the same one several times over (I can contest to that one..lol).

So long as you are attending to the righting of the wrong, reconstructing your behavior into that of positive AND maintaining that structure, then there is little to concern yourself with.
Don't sweat the past, it's already done. Focus on what good you do offer and can provide. Project the positive and you will attract her.

I wish you the best.

Shangrala