I, for one, don't believe her.
I think it would be fitting if a significant percentage of other people with CBEs started to return them with public statements about them not wanting to be associated with the likes of Paula Vennells.
Issuing Honours is something a Monarch does, but like declaring War or deciding what Laws should govern the country, they don't actually make decisions, that's a government problem.
So long as the general public were barely aware of a problem, this could skate along as not important for years, but now lots of people are angry because they saw a TV show and for once when they said "Hey this is terrible!" instead of "It's just a TV show it's not real you idiots" those of us who were paying attention are like "Yes, so what are you going to do about it?" which as we've seen puts pressure on government to actually do something.