I think you have a good start with the piece, but a few changes to it could improve it greatly.

The first thing I think that would help make this piece work better is changing up the face of the character to better mimic a snowy owl (which I believe is what you are going for).

The eyes on this kind of owl really give off an interesting look and I think incorporating more of that would help give the character a more realistic feeling.

This subject goes into my other critique in that the wings you drew do not fit the same structure of that kind of bird either.

The biggest thing with making a character is to have references out to gain information from.

No person is a master so I think doing some reference-based work could help you improve faster.

I hope I didn't come off too harsh with my comments.

I hope to see you improve!