said by Robert:Just let the hot water run in the shower and after about 5-10 minutes, you should be good to go.
I was going to suggest the same thing. The humidity should take care of the floating particles in the air and allow you to put the screen protector on.
I have moved on from traditional screen protectors (even used the InvisibleShield one also), and now am in love with tempered glass screen protectors. It feels nice and smooth, exactly like your phone screen, but actually protects your screen from cracking/breaking, which traditional screen protectors don't (they only protect from scratches). Check them out.