If I had a sore throat I'd use a loose "G" handshape and move it down the
throat twice while using a pained expression.
Don't you feel sorry for me? (Note: Some people just spell S-O-R-E and
You might also see this sign used to mean "my throat hurts." Thus
is the sign for "pain/hurt" done near the throat.
Suppose someone is a "pain in the neck?" That would be shown by
using a single hand twisted into the side of the neck.
"He (or she) is a pain in the neck!"