I would offer an operational distinction: Risk is where the expected value under some neutral measure is defined and finite; uncertainty is when this EV does not exist or is unbounded. In the case of uncertainty, you can still, gun to your head, make a decision, but there's no way you could pay someone else (or be paid fairly by someone else) to take your place. Uncertainty is economically untransferable, and therefore uninsurable. That leaves the decision to you. Good luck!
I would offer an operational distinction: Risk is where the expected value under some neutral measure is defined and finite; uncertainty is when this EV does not exist or is unbounded. In the case of uncertainty, you can still, gun to your head, make a decision, but there's no way you could pay someone else (or be paid fairly by someone else) to take your place. Uncertainty is economically untransferable, and therefore uninsurable. That leaves the decision to you. Good luck!