I think the main points to keep in mind in terms of the SC ruling (and Forstater) is ensuring that none of the messaging around trans rights runs contrary to the EA (e.g. TWAW), and also that it doesn’t create an offensive, intimidating, hostile, etc environment for any gender critical employees (e.g. by criticising them for not believing in gender ideology or suggesting gender identity ideology is the one true faith, etc) or for women (e.g. by denying they share the protected characteristic of sex or by implying they shouldn’t).
I’m not suggesting that you would be putting together any of that kind of messaging, OP, but I can imagine there may well be colleagues who want to help you by suggesting all sorts of campaigns and messaging, especially in light of the SC ruling.
Personally, I would try to make sure I stick to the same number of references for each letter (LGBTQ..) as far as possible, so that if I promote an article on a lesbian, I also promote one about a gay man and one on a bisexual person, and so on. Doing this could help as (1) it will mean that the LGB stories don’t get forgotten about like they usually do, and (2) if anyone accuses you of not focussing enough attention on trans rights, you can point out that you have shared the coverage of each group equally (personally, I would then produce my evidential spreadsheet..), so there are just as many stories about the T as there are about each of the G, the L, the B and so on. So no-one can accuse you of favouring one group above the others.