I had the same when I was learning (not too long ago) my first landings,nice quiet day and then suddenly on short finals,turbulence,cross winds,aircraft all over the place.
Instructor says "let go of everything",and suddenly there's no turbulence or dodgy crosswinds
Sweaty palms as well,instructor told me I was holding the yoke like it was a Cobra about to strike,I went out and bought a pair of horse riding gloves for a fiver,and that helped,and I still wear them as it became my normal wear.
It will get better,just takes time.
Don't be too hard on yourself
lister