Bumping this to say that the Free Speech Union is running a petition to try to get the Conversion Practices Bill stopped Apparently Burnham is thought to be going ahead with it - but he has plenty on his plate and maybe it wouldn't take much obvious opposition to get him to give up on it.
Stick fsu conversion practices petition into a search engine and it should come up: headline is Stop the Conversion Therapy Ban.
(There doesn't seem to be a similar petition on the parliamentary petitions site. I'm not sure if that's just because nobody's developed one or if it's somehow against the rules there. I'm not up for being one of the real names on such a thing, right now, but if someone starts one, do announce it here and I'll sign!)