No big deal at all and no need for any embarassment
Fair enough that the captain made the decision, obviously cannot land below minima.
BUT, if I had been a pax, on the way to an important meeting, I would have been furious and probably considered suing Flybe to recover the cost of the airfare and a day's lost fees.
In my opinion, the small claims court would not look too kindly at and airline despatching a captain not qualified to land in low vis in winter.
And madness for an airline to treat pax this way in a hard market.
But no criticism of the captain for following the book.