Of course you need the feelings she loves you as much as you do in return.
You need to trust her, by doing that, you will earn her love in a great deal.
Without the innocent mistake, would you love her all the time, if so, should it not bother you so much?
If I were you, I will calm down, let the angry go first, then talk to her:
"I am still very upset for what happened, but I think it over, I love you, if you want to talk, I will listen, if you don't, I trust you"
Again, saying is alwasy easier than doing it.