It sounds like you did really well with the talk---good for you!
I know this is painful. It's hard to imagine you'll won't feel like this forever, but you won't.
As to whether or not you give up, "resign yourself," only you can say that. You're really early days still, and it doesn't sound like you want to give up.
W gave you lots of clear information about your role in the R, and that's good---you know what changes you need to make if this R (or any other) is going to succeed. So get to work.
As hard as this is, nothing has changed in your sitch except that now you know more. Most of us have heard "It's completely over," "I'm absolutely done," "It'll never work," etc. She says she could never trust you. What she's saying is, "You could never really change." Show (SHOW, not tell) her you can change, earn her trust back, and you may have a shot.
You share the responsibility of the state of your R, but you alone did not kill your W's love for you. Take responsibility for your share, but don't take all the blame for where you two are now. You didn't get there alone. Sounds like you're beating yourself up right now (which is natural at this point, but something to keep an eye on).
Whether you decide to give up or not really doesn't have much effect on what you DO: make changes in yourself for you so you'll have the life you want, be the person you want to be. If she comes around, wonderful. If not, you're on the road to happiness.
