What kind of dog?
Shiba inu mix, he's not a hunting dog by any means but he's cool as hell 
very well mannered.
That's what I thought? Just didn't know if anyone else had similar experiences with their dogs or not. I just hate seeing him so stressed out.
That explains a lot. Shibas are one of the most skittish breeds out there. They are scared of their own fur.
You need to do a lot of positive association, and work at it slowly. Let him initiate at first, maybe leave the bow against a wall with a treat 4-6' away. As he gets more comfortable, move it closer and closer until he's just about right on it. DO NOT put the treat ON the bow where he could knock it over by grabbing the treat. That would freak him out more. Make sure it's steady.
After that, you can practice having the bow in hand. When he approaches you, reward him. Do this over and over again inside the house or where ever he's most comfortable. When you're confident he's ok with it, then move to doing the same thing outside.
Also, keep training sessions short and sweet. Always end on a positive. If he doesn't want to come closer, move the treat farther away until he takes it. You only need to do this a few times a day. Do not ever force him, such as picking him up and placing him closer, etc. Let him control the pace.
Prepare yourself for the possibility that he may just never be ok with it at all. Shibas are very very strange when it comes to certain things.
