I have a rabbit who lives in the same room as my ball python and 2 other snakes. My dogs sleep in the bedroom at night with the bunny. One of my cats love to lounge around the room for a few hours each day.
None of the animals scent caused any behavioral issues with any of my snakes.
They acted no differently than the ones outside of the bedroom. They still hunger for food when it is feeding day, and hangs out just fine when it is not feeding day. I don't wash my hands after grooming my bunny and then handle my snakes. Bunnies, at least to our noses, have no smell. They should not smell at all. Mice or rats smell. Secondly, I'm sure snakes know the difference in smell between a bunny and a mouse. I know that they can tell which is a rat or mouse when I offer both to my woma who eats both but reacts hesitantly toward the rat and strikes within seconds for the mouse.
I agree downsizing your enclosure may help. I am not sure what is available around your area but tubs or plastic containers are usually more affordable than glass tanks. Drill some holes and you are good to go.
Lastly, I have anxiety too myself. Some days are worse than others but nowhere near the scope where it is interfering with my day to day life, but it creeps close that edge. So I get it, many of us do. I felt the same way when mine did not eat either. Picky eaters require a lot of patience on the owners part. If it has become too much for you, I would not hold it against you to take your snake back to the store and get an easier snake to work with (ie cornsnakes), but you should still have some time to remedy this situation. I assure you that your snake will eat when all things go right for him. It is on his terms, and you have to help him get there. Do what you can with what you have.