If the priest baptized you without adding any new name, your existing name/s must have been deemed suitable for Baptism. It is your baptismal name.
For Catholics, the rule is that any name not contrary to Catholic morals can be a baptismal name. And really, most names have a patron saint attached to them somewhere. (And then there’s you, at least when just baptized and sinless, right?)
I used to do name research for baptisms at my old parish, and I can look that stuff up for you. Message me privately.
But really, you can always add more middle names to your name. That is your prerogative.