First step is to STOP taking any kind of blame! I don't care what problems there were in your marriage, there is NO excuse for cheating.No he's not communicated with me at this point. It all just came out today. I've probably done the wrong thing but I just wanted to spell out what my position is. I just didn't know what to do
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Secondly, this is a very traumatic event and you can expect a wide range of feelings and whatever actions you need to take to help you cope with this are perfectly okay. If he needs to leave, or you want to cut off communication, then do so. The main thing here right now is for you to pick up the pieces and get your life together.
There will be time for him later.