I don’t think a source saying the deity’s gender was controversial and calling their followers “transvestites” supports the description “defender of gender fluidity”.
An intellectually honest response to the link supplied by weakfish would be to question why defender of gender fluidity is the right description while acknowledging that this is new information and that your initial response was wrong. That the description defender of gender fluidity might have some merit to it but you remain skeptical and would like to learn more about why people use this description.