Then given she was in part given it for her services to the Post Office, it seems to me you are happy to not support the state honouring someone for actions that led to suicides. And yes, it's a minimal thing but one you are choosing not to do.
Devil's advocate argument here...
She assumed the position of Post Office CEO after most of the Horizon cases had already occurred so you can't blame her for the fiasco that was Horizon. She was in charge during all the covering up and obstruction and so on but I wonder how much she actually knew. You could argue that she should have made it her business to know, especially as she had to answer difficult questions in Parliament and in court (oh, actually not the latter according to ITV), but who of us has not let things slide when it might make our lives a bit more difficult to do the right thing. And, before you say "not me" just remember that, according to the ITV drama, this is exactly how a number of sub postmasters got criminal records. It's entirely possible that Paula Vennells was just grossly incompetent and unfit to hold the post of CEO of any kind of organisation.
Anyway, I was so angry after watching the first two episodes of the ITV series that I had to stop. I have since calmed down and watched the second two episodes but I'm still pretty upset because, as a person who worked in the industry of bespoke computer systems for ten years, including the period when Horizon must have been written, I know that the claim "it couldn't be the computer system" is utterly false. I would laugh in your face if you made the claim of any such system.
Furthermore, I know, if the Post Office had accepted that it could be the computer system, it would have been fixed quicker and fewer lives would have been destroyed. As an example, consider one of the early scenes where Jo Hamilton had a deficit of £2,000 and rang the "help" line to try to resolve it. Had they taken the line "oh it's a bug in Horizon" they would have logged a defect, the discrepancy would be accounted for and the software would have been fixed. Jo would not have had to answer criminal charges and neither would a lot of sub postmasters who fell foul of the same bug.
It was all so fucking unprofessional, even before we get to the cover ups and the obstruction. People need to go to prison for this. And yes, Paula Vennells needs to be stripped of her CBE which she gained under false pretences.