Then only thing that comes to mind is to find an animal or humanitarian association that bridges goods to and fro Jordan or the country of your choice for expat (for example, if you have friends/relatives there, to arrange the bun to be delivered there). Still, it’s very risky to stress a rabbit in such way, so I don’t know if that would be an option (if available at all). Is there a Jordan embassy or other government offices where you could ask for advice or for a special permit?
If it ends up not being possible, the best option is to rehome the bun with someone else or even back to the original breeder if they’re willing. It would be a hard option, but you gotta take your shot at a better life somewhere else I really hope everything may be solved in the best way possible for the both of you

I am really sorry that you find yourself in such a difficult situation. I can’t think of anything that might help you, but my heart goes out to you and your beloved bunny.

Crazy idea, but is there any way you could convince or bribe someone to sneak your bun into Jordan via a Red Cross or military or UN or relief organization truck?

What a difficult challenge. I’m so sorry. Since you have some time, if you find no way to bring your bunny safely and no one else can help bring your bunny over, then I would begin searching for a loving home you trust. At least then you have some peace of mind that he may be in good hands. It may take time and patience, but you could talk to the breeder and vet and see if they may know a someone who would want to care and love your bunny. They could start at least thinking about it and then if someone comes up they can contact you.

Again, I am so sorry. How hard this must be for you.

Oh dear. Yes, what a conundrum. Does this include cats and dogs too…? What do other people do?
Yes, as BB says – as you have time you may have to find someone would could take him.
You don’t mention how old your bun is or how long you’ve had him ?

If you really try hard to home your bun and you can’t, then you have nothing to lose but try and smuggle and take him with you….

I have a 6kg rabbit, so this would be hard, but if yours is a small bun….

So you can fly a bun from Jordan to the US? In the cabin with you?

I wouldn’t really attempt the smuggle route through an occupied zone with a pet that can become an excellent dinner… also breaking the rules could jeopardize the chances to safely get to Jordan and out of there if any law man finds out. I’d def try getting in contacts with the authorities beforehand and with humanitarian groups before giving up all hope!