I don't really believe MC session is going to be helpful, at this point. Especially if your W sees it more as divorce counseling.

She says she needs space and time, so I think that is exactly what you need to give her. Use this time to work on yourself, GAL, follow the 37 rules, etc.

Most guys want to pursue (including pushing for MC), especially when they fear they are losing their W. However, that is the last thing you need to do. She is hurt and angry at you. The more you push, the more she will resent you. Back up and give her room.

It is not about what you feel should work in your M. It is about doing the work that gets the right results. Do what works!