What do you do when you and a girl want to be with each other but aren't sure if you should because of trust issues?

everyones heard the age saying trust is the most important thing in a relationsip. And i think that's because to be happy with either yaself or with someone true happiness come from peace of mind, how can you have peace of mind with mistrust. If its minor and can be worked on that can be strengthen a relationaship but if the lack of trust is always gonna be loitering in the background maybe reconsider if what you have is worth it.