i used red slime remover and it got rid of it no problem just make sure u stop running your PRotien skimmer and not carbon and in 4-5 days it shoudl be good as new
a problem that can occur with red slime remover and coral is the way it affects your ph(as stated on the box). a well buffered tank and maybe an addition of something to raise your ph will keep your coral fine.
Red slime remover kills the cyano bacteria. It also kills your beneficial bacteria. It is used, as you have done, as a last resort type method.
Be prepared to do water changes and keep an eye on your parameters as you may have another "cycle".