It has very little to do with intent. Subconsciously thinking someone with a name usually thought to indicate blackness—like Tyrone—is different is racist. Subconsciously disbelieving that a woman can answer technical questions or is a fighter pilot is sexist. It may not necessarily be your fault, because society and your peers have taught you this, but that doesn't really matter. Especially because you have a responsibility to actively work against stereotypes and treat people as people.

Having intent behind it just makes it worse, really. And "intent" is difficult to define.