We are responder. Partner opens 1. We bid 1NT (which, in our system, is "semi-forcing"). Opener rebids 2. What is our next call (the auction is 1--1NT--2 with the opponents silent) with:
Q32
J
Q87652
K32?
Pass. Don't try to rescue partner. At least your singleton is an honor. If you correct to 3, you deserve to get doubled and go for a number.