What a terrible situation you're in and I feel you. The option what I should do is to go back and take care of her. That, if you don't have children who are depending on you, would be my serious option.
It will be a horrible idea to bring her to Jordan, at least this is what I never would consider due many facts.
Most elderly will take care by their families although from my personal experience not always in a way how I should do it.
I know there are some elderly houses who take those who have no family. But no clue if there are with some specialised departments or staff.
If you really considering to bring her to Jordan, which I completely understand, you have to figure out the following :
Is she able to travel and can she handle the different environment?
Who's going to pay the insurance? Hers or you have to open one? What about her social security?
What are the cost of a living in nurse? They do exist here. What kind of professional care does she need more and is it available here? There are many other things to consider, like where to bring her to her last rest place when the time comes. To bring her back to the states is very expensive and time and effort consuming. Not to mention the paperwork.
Yes, she's get a permanent residence as she's depending on you and it's your mother.