As InkHulk has said, you should expect this journey to be like a roller coaster. That's what it's been like for me, and for many other reconciling couples. There is the hysterical bonding phases and the angry phases and the withdrawn phases and the sort of mundane phases where everything seems normal (and even that can be scary!)
I think what you should probably do now is:
1.) Be grateful that she is considering reconciliation with you. Express that gratitude at every opportunity. You basically cannot express gratitude or apologize enough.
2.) Tell her you will go to MC IF that's what she wants and thinks is best. It can be helpful if you need to address communication issues between you two. But do keep in mind the advice that is given here, that sometimes it can be harmful to the BS, ESPECIALLY if you get a therapist who is not specifically trained in matters of infidelity. If you get one who shifts any of the blame for your actions onto your BW, make sure to defend her immediately, and switch providers.
3.) I think in a previous post you said you are pursuing IC, so make sure you stick with that, regardless of whether you do MC or not. Continue to work through your whys and improve upon yourself. Encourage your wife to seek professional support as well, especially if she feels she can't talk to any of her friends or family about this. Nobody should be alone with the whirlwind of feelings that infidelity brings.
4.) Be patient. Tell your BW that you know that you hurt her, but you are 100% committed to supporting her through the trauma you've caused. Let her know she can tell you anything and everything, and that you're willing to hear her and listen and do your best to help, whether she wants space or affection or isn't sure what will help. Sit with her in the worst of her feelings.
5.) Remember that everything is going to be okay eventually, regardless of the outcome. It's going to suck for a long while, but you'll either become a better person at the end of it, or have a stronger marriage than before, or possibly both.