I'm the sort of person who does not believe in limits. I especially get my hackles up when confronted with the suggestion that I "can't" do something. My philosophy, and the one I share with discouraged students, is "if someone is doing it, it's possible, and if it's possible you can do it."
But if this was the case, wouldn't every skater have a double axel?
And not to mince words, yes. Every skater that put in the work required IS capable of that double axel. A naturally athletic skater will get it sooner, and more easily. A naturally motivated skater will find the longer athletic slog less onerous because of their inclination to accept hard work. A skater with a lot of time to skate will appear to have learned it quickly, even though they've devoted the same number of hours to it. A more timid skater will have more difficulty than a courageous one. A courageous one may accept falls that she doesn't need to accept, and slow down her progress.
I never tried the harder jumps. I could probably eventually have done them, but I was too scared. So I never tried. In other words, my ability to do an axel is not in question. I believe it. It was my desire to do an axel that got in the way.
This is what I see over and over--skaters, and their mothers, blame their failures, if you want to see it that way, on their native ability, narrowly defining that as meaning athletic ability. But ability is the same thing as body type; it's just another quality that you need to understand and accommodate. The skater gets discouraged, and stops being responsive in lessons. She doesn't practice. She takes one lesson a week. She won't make attempts when the coach isn't there. She jumps from coach to coach, looking for the one who will "give" her the axel (or the double, or the jump sit...).
It is okay to give up a goal. But be honest with yourself. If this goal remains important in itself, for you and not for your mother or your popularity, then don't give up on it. If you're just going through the motions, then rethink the goal. I decided the skating tests and higher freestyle skills were not the best use of my time, and put my energy into the PSA ratings instead.
Understand what you desire and why you desire it. Understand where your talent lies and use that to achieve your goal. Pointless to rely on athletic ability alone, if your talent is persistence.
There are no limits to talent or desire. You only limit yourself.