Just want to put this to rest once and for all.
I do take criticism.
what I do is internalize it. It is a 4 stage process of evaluation, analysis, consideration and adjustment. If the subject reaches stage four then I alter my work to fit the critique. If not then I don't change anything.
Evaluation is stage one and a simple process. Is the criticism valid on a social level? Questions about why something is X when normally Y are valid. Blah blah shitty, blah blah Mary sue blah blah paper shredder are not. In short be respectful and you pass.
analysis is stage two. Is the objection based on fact or is it here say and or opinion? If factual it gets carted along to stage three but if it is otherwise opinion or a debatable subject then it gets stalled and either discussed in a civil manner and then either accepted based on a convincing argument or rejected for a lack thereof. It is also rejected if a critic gets rude by not accepting a disagreement of opinion in the first place
Consideration is stage three. This stage has to do with premise and story consideration. Can the primary purpose of the story be achieved if critique is followed? If yes then move to stage four, if no then the process ends here.
adjustment is stage four and is the application of received critique. Simple as that.
Fan fiction is a recreational activity and as such should be a joy. If you don't like a subject do not read it, similarly a writer shouldn't write what they hate.