Let me be clear, then.
-- I don't think it's unreasonable for Theresa May to dodge the question, although I wish that she, and all politicians, were less afraid of actually answering questions.
-- I offered two possible answers she could have given instead. Both of them seem reasonable and defensible to me.
-- The first was if she still felt that Remaining was better, but that she saw her job as implementing the will of the people, and make a success of that decision to the utmost of her ability. Why not say so (again, even, as she's already said this in the past apparently)?
-- The second was in the event that she'd changed her mind.
-- In both cases I don't know what she would actually say, I was just offering two alternative answers that address the question, and yes risk some criticism but would at least have the virtue of being honest and forthright, presumably.