jalan, your wife won't be the same person she was before. You are screwed up big time. 
You messed up with A(your wife) and B(your girlfriend), they both will eventually know you are part of them. You can't live a normal life with any one of them in the future. Even if you confessed to your A, she'll have that ding about you for her whole life and probably will find excuses for arguments, never ending argument your entire life if you decided to stay with her, I can clearly see that. About your B, she'll probably be thinking the same about you. 

Relationship formula says, if you want to lead a happy life, start looking for C. But if you want life full of remorse and pain, stick with any one of them A and B.  This is just a life and you create your own destiny. Now it's upto you. Whatever happened has happened, think ahead, don't live in the past.