Racism threads get a link to "Everyone's a Little Bit Racist" from Ave. Q. It's almost a law.
South Park clip, in spoiler since language is NSFW. Included also is the Scrubs take off on the Nagger episode involving Kelso (SFW).
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First off, we don't know what the racial slur is. The South Park clip uses the 'unholy of unholies" word, but other words could easily be passed off without someone even batting an eye (e.g. Polack when used in English). Suffice to say, yes, I think the strength of the word does play a role.
"Racism" is a tricky subject. On one hand, if society disallowed anyone who laughed at a racial joke or ever used a racial slur to provide care based on those being "racist," then we would have a total of zero providers. On the other extreme, there's KKK members who obviously would have trouble rendering care based on a persons skin color. Thus, there's a line someplace in the middle where racial judgments start to have an impact on providing care. As with many other parameters, there is no simple place where a line can be drawn and will have to come down to an interview and proper monitoring.