It depends whether we are using 'racist' to mean 'believes that some races are superior to others in certain respects' or 'has less empathy for other races'.

We are using it here to mean "implicit racism". That's a term that used in the literature. There are studies that measure it. Implicit racism also isn't something that's only found in white people (in Clinton's words it's a problem for everyone). Black people also have implicit racism that makes them treat white people better in many instances.