Hey Chris
Welcome to the forum
I hope you like it here.
To answer your question: it's normal to sometimes get caught up with the need for approval, or to edit your songs for fear of what others may think of them. It's also normal to worry that other people won't like them.
But as you're studying songwriting at uni, I expect you have tutors who can give you an honest appraisal of your songs? Also, this forum is a great place to get honest but gentle feedback on your work. Why not post one or two and see what we think?
As your confidence grows, you'll find that you're able to be yourself more and develop a unique writing voice that will give your work an edge.
Maybe have a listen to some of the song posted here by members and compare it to your own work...
Tone