She is technically right. Sexism and Racism describe systematic discrimination based on long-standing structural inequalities. The terms originated from times when these inequalities were put into the force of law, representing collective group legal and moral norms, rather than individual behaviour. It's got more complicated since equal rights have largely been achieved and the inequalities are no longer formal but are "hidden" behind a mask of professed equal oppurtunities and equality before the law, even when they have unequal results. So it's the distinction has blurred quite a bit.
Many people on the right have tried to turn it on it's head by accusing the "politically correct" mob of reverse racism or reverse sexism. However, racism and sexism are terms which are used to assert group rights, of women and ethnic minorites against other groups that have social dominance, rather than individuals. This is why it is so hard to reconcile the group rights asserted in demanding politically correct behaviour and equal social treatment, with the individual rights of free speech and expression. Political correctness goes beyond simple legal equality and therefore challanges cultural norms in a way that sits uneasily with the liberal concept of individual rights and on free expression because it is trying to change a whole culture rather than individual behaviour.
Therefore, she isn't a sexist or a racist, but you can legitmately call her "prejudiced" against White Striaght Men.
