In the post-trump era, right wing complaints against an organisation aren't necessarily a sign that that organisation is doing a good thing. Complaints from the factions in power in the UK at the moment are usually just a sign that their actions 'arent right enough' rather than not being right wing full stop.
Also, the BBC News wing has separate management, some of whom were appointed during Cameron's time in office. So the drama and comedy produced by the BBC can be independent of its news editing.
Do you think she's an actor and/or wrong for trying to make a stand and make people think about reducing carbon emissions?
Also, I think going straight to the 'oh, well clearly she thinks everyone needs to sail a yacht instead of flying now' route is a bit childish. All you need to do is think for a second and reduce where you can, which obviously the BBC didn't do here.