I would still make her work for it a bit, if you cave in too easily, you will still appear to have little to no value, we pursue things of value that we don't have, always remember that.
Just because she wants back now doesn't mean she's ready to come back. You can say things like "I'm not sure how I feel anymore about us, it's been so long and all this stuff happened, I need some time to think about this plus I don't know if you're genuine or not, I don't trust you anymore and I want someone I can trust to be honest"