This brilliantly illustrates the idiocy of the phrase "their pronouns". Katie is fully within her right not to use pronouns. It's hard, extirpating a whole part of speech from your grammar, but Katie is a big girl and can do whatever Katie likes. The problem, however, is that Katie seems to want others not to refer to her using pronouns. And if that is the case, it is a claim on other people’s pronouns; not Katie's.