Focus on getting her to trust you again - hopefully this will be just for a short time and until you guys get back to normal. Give her access to your email accounts and your phone and phone bills. Be completely open with her in every way. Ask her what is worrying her and don't just tell her the explanation - show her.
I know this isn't your fault but the priority is getting the relationship back to normal and getting her to relax again.
When your wife gets suspicious about you and your are honest, don't try anything, to proove your honesty. Don't say a single word to proove that. It will make the situation more worst. Just relax, and try to look your wife with more compassion and love. There is nothing that cannot be changed with TRUE LOVE.