How to get over the fear of hitting (and being hit)?

Last night in a light sparring class, I realized I’m incredibly hesitant to punch someone in the head. Hits to the body or kicks I’m fine with, but I really just feel bad going for punches to their face.

Similarly, I have a fear of getting hit in the head myself, and I’m catching myself being very hesitant to make a move if it opens me up to a hit.

Is this something you get over with time, or is there some kind of mentality shift that helped you out in this situation?