What NIGHTSTOP says reminds me of my experience trying to bring an elderly cat to SW France back in 2007. It was only possible to fly with certain carriers from/to certain airports. In our case it turned out to be BA who would not engage at all.
They blankly referred me (very long answerphone message) to "Pet Travel Agents". I finally gave in and got a quote - 700 sterling!! - No.
Brought her in the car through the tunnel with all the necessary paperwork and nobody even looked at her.
I know this doesn't help you much but suggests that avoiding a direct flight from the UK may be a good idea.
Good luck, and please let us know how you get on.
Last edited by Repos; 27th Aug 2019 at 16:37.
Reason: typo