First off, the pic is a bit hard to go by. If you can post a picture of the whole mount and closeup of the face region we could help you better judge the mount quality. As others have said the mount from that pic doesnt seem to be the worst Ive seen by no means but could use some improvement in areas. The eye shape does seem a bit off and the ear butts need more detail & shape. As far as the inner nose goes...deer do have pink inside them but maybe not quite as high of a tone as it has.

As far as getting your refund most likely not, this is a prime example of why it is very important to look around before you settle on a taxidermist. YOU GET WHAT YOU PAY FOR. However, I will say some $350 taxis can do just as good if not better work then one charging $450+ and vise versa. You just have to get out and look and know what a good quality mount is from a bad. Check out real pictures of deer and see how they reference compared to your mount. Pay close attention to eyes, ears, and nose as that is what brings out a quality mount. Find one that TANS the hides not DP (dry preservative) Also find out how many years they have been in the industry and if they are part of their states taxidermy association. More then likely if they compete for ribbons it tells yah someone that stays up to date on their latest tricks & techniques thus resulting in higher quality work.