It is understandable that your husband is acting in this manner. It is understandable that he does not trust you and you are going to have to earn that trust back and it does not come quickly.
So move slowly, do not panic....it will not help you move forward. And be careful that you do not blame him for your EA....even though you may have had things in your relationship with him that you felt pushed you towards someone else. Let that go for now.
You have to take care of yourself....it's better for you AND it makes you more attractive.....so try not to let your grief overwhelm you.
The good news is .... there definitely can be FORGIVENESS...it happens all the time. And trust can be rebuilt. Commit yourself to it. Prove yourself as a friend first. Be faithful to your word. Do what you say you're going to do.
Practically,
Pull back. Don't barrage him with your feelings....he knows you want him back, but he can't trust the reasons why you want him back.
Don't go completely dark. Don't be completely business. Be warm and open. Care about him. If he talks...you shut up and listen. If he asks you a question....you tell him honestly.
Pay your bills. If you need $$$, find it from someone else--family, girlfriend, not men... even if that's unfair. I don't know your situation, but if he thinks you just need him financially, it will take much longer to win his trust.
And fortify yourself....you can do this.
sg Love is PATIENT, love is KIND, LOVE never fails / DB since 2001