Eh, no. The BBC is institutionally anti LGBT, like much of the establishment in the UK.

As just one example, a few months ago they did a hit piece, to equate trans people with sexual offenders. Curiously, the loudest anti trans voice in the article was herself a sexual offender. However the BBC was okay with not disclosing that, and then platforming her.

Later, emboldened by the BBC piece, said anti trans activist wrote a manifesto—just like a neo Nazi or a school shooter does—calling for the elimination of trans people. No apology from the BBC, and they didn't even pull the piece.