Make the point that individuals are the ones who are racist, not the demographic. People aren't racist/sexist because they're white/male, so making a claim against white/male people is ineffective. However, individuals who identify as Nazis, are racist, because the group itself is racist.

It leaves less room for "oh they're just racist misandrists targeting us" by reframing what you're saying. The critique isn't the problem but the manner in dispensing it which gives the opposition fuel to "uno reverse" the situation.

She insinuated she hears a lot of white men and made no attempt to specify what kinds of white men, only that she hears them often. Generalizing isn't bad in itself, but targeting characteristics that can't be changed for the sake of a counterpoint, is. Someone can't choose to be a man or white, so rather than allow the opposition to make it about either, reframe it into what it is. Racism, sexism, etc.

It seems pedantic but you don't want to appear to be the enemy they paint you as. You don't want to use the language they'll benefit from, no matter how right you are.