I'm guessing, rightly or wrongly, that your husband (or perhaps husband to be) might be a Muslim. Please correct me if I'm wrong.
Once you become a Muslim, nobody has the right to taint you or remind you of previous doings. They are the past. If anything, you are showing such great courage and determination at making what are big changes for you, and that is praiseworthy.
I'm not sure of your situation, or whether if anything I say is particularly relevant to it, but these are my initial thoughts (if he is Muslim):
If he is untrusting, unsure of your change, perhaps it might be worth telling him, that you want to let your actions and your faith speak for itself. You want to practice Islam, worship Allah as your Lord, and follow the teachings of Prophet Muhammad (peace be upon him) to the best of your ability. Ask him whether he would be willing to support you, in your quest to do that, and whether he would be willing to help you grow, learn and develop as a Muslim, and whether that could be a journey of faith you go on together. And tell him you want to forget your past. You will forget it and even though it'll be forgiven still regret it, Allah will forgive it, so he should give you a chance. And tell him, imagine if all new Muslims were viewed with untrust.
You may have already done all this though....