Hello SHelby,
EVen a large comet like comet Holmes has a mass of only about 10^14 kg (100 billion tons). The Sun's mass is 2 x 10^30 kg (or 2,000 trillion trillion tons). So the comet would have very little effect on the Sun should it actually survive long enough to hit the Sun, This is like hitting a large cruise ship with a grain of sand!
David