I believe that 'intrinsic' quality has, in some sense, itself as its origin.
The intrinsic value of something is said to be the value that that thing has “in itself,” or “for its own sake,” or “as such,” or “in its own right.”... Suppose that someone were to ask you whether it is good to help others in time of need. Unless you suspected some sort of trick, you would answer, “Yes, of course.” If this person were to go on to ask you why acting in this way is good, you might say that it is good to help others in time of need simply because it is good that their needs be satisfied. If you were then asked why it is good that people's needs be satisfied, you might be puzzled. You might be inclined to say, “It just is.” Or you might accept the legitimacy of the question and say that it is good that people's needs be satisfied because this brings them pleasure. But then, of course, your interlocutor could ask once again, “What's good about that?” Perhaps at this point you would answer, “It just is good that people be pleased,” and thus put an end to this line of questioning. Or perhaps you would again seek to explain the fact that it is good that people be pleased in terms of something else that you take to be good. At some point, though, you would have to put an end to the questions, not because you would have grown tired of them (though that is a distinct possibility), but because you would be forced to recognize that, if one thing derives its goodness from some other thing, which derives its goodness from yet a third thing, and so on, there must come a point at which you reach something whose goodness is not derivative in this way, something that “just is” good in its own right, something whose goodness is the source of, and thus explains, the goodness to be found in all the other things that precede it on the list.
So if I am intrinsically handsome then that is its own origin, is derived from itself. Does that sense of "intrinsic" mean independent of anything else?