The thing is, that sends the aide from the current situation (working with a racist patient, for their child the LW who is sensible, kind, and not racist) to gamble against ending up in a very likely worse place (i.e., working with another racist patient, for their child who is also racist and uncaring and/or will believe the patient's accusations and have the aide arrested, with all the attendant delights of being in police custody while Black).

It looks like a good and kind thing to do to release a Black person from having to work with a racist patient, but unfortunately, racist patients are really really common and if a Black health care worker has to take care of one, being employed by someone with the POV of the LW is the best case scenario, sadly. I could hope that LW could give the aide severance enough to be able to leave home health care work entirely, but I don't know if that could be expected.