If you're asking me can you trust her then you already have your answer. Keep in mind two months is not a long time and trust needs to be built in a relationship. If you want the relationship to last make your intentions clear but take the time to study each others character for those are the traits that will make or break a relationship. Capricorns are earth signs, they crave stability and consistency this is a trait that can cause problems for the Pieces who's very adventurous and loves change.
The relationship can work with acceptance of each others differences and working those differences to their advantage. Both signs are ambitious and have the potential to be a power couple if they work together and not against each other.