Planning to reach out to my ex and need advice

I recently separated from my ex of a little over a year (it's been a a little over a week now). She initiated the breakup stating that she just had a feeling that she could not see us coming up with the tools necessary or overcoming some of some smaller issues for the long run. Some of the issues she had with me were my cynical sarcasm (Im 36, I like to make jokes) and she felt it was hard to approach me when she had something serious to discuss (she is timid in nature and never really tried. I made it a point to reach out to her and still had a hard time getting her to open up). There was also some pressure from her family that I was not of the same class and religion (this I understand is a tough one but I truly believe that love can overcome).

A quick background to our relationship: we never had any fights, or major arguments. Loved spending time together and constantly complemented each other. We traveled quite a bit and to be honest had a great relationship. We loved each other deeply, had trust in one-in-other and were both loyal.

Now that it ended very abruptly (she showed up to my house and initiated the break-up and had a few of my things in a small bag) I'm naturally trying to piece things together. I have not yet initiated any contact (it's only been a week) and have already begun looking into myself and how I can improve for myself based on the little feedback I did receive.

Here is where the kicker comes in. I honestly would rather not be with any other women in the world with this. She has my full admiration, respect, and love. What I'm thinking of is giving it a little more time (maybe another week), initiating some contact to get a feel on things, and attempting to see if things can be mended. The way I see it is you only live once and you should honestly do what your heart wants.
Any feedback or advice here would be appreciated. If you need more info just ask.