I agree the lack of protests from the left in support of Iranian women is very telling.
I think you're oversimplifying the other 2 examples though. As I noted above, there have been left wing protests for Sudan through Marble Arch, Downing Street, etc
Moreover the Israel-Palestine conflict, particularly since October 2023, has received wall-to-wall global media attention, with vivid imagery, high-profile statements from world leaders, and direct Western involvement (e.g., arms sales, diplomacy). This makes it easier for people—left-wing or otherwise—to feel informed, form strong opinions, and mobilize (whether they ARE actually informed is of course another matter)
In contrast, the Sudanese civil war (since April 2023) and violence against Christians in Nigeria (ongoing for over a decade via groups like Boko Haram, ISWAP, and Fulani militants) get far less consistent mainstream coverage.
In the cases of Israel and the UAE (key backer of Sudan's RSF in the ongoing civil war), the UK has substantial influence through longstanding alliances, major arms sales, and deep economic/diplomatic ties:
The UK is a significant supplier of military equipment to Israel (components for F-35 jets, targeting systems, etc.), though sales are relatively small compared to the US/Germany. This gives us some leverage in bilateral discussions.
With the UAE, UK arms exports (including components for armored vehicles and other gear) are ongoing and substantial in the Gulf context. Reports from 2024–2025 (including UN panels and media) have alleged UAE-supplied arms (some with UK-origin parts) reaching the RSF, accused of atrocities in Darfur/El Fasher.
Contrast that with Nigeria and Boko Haram (or ISWAP splinter):
The UK has no direct arms sales leverage over Boko Haram itself — it's a non-state terrorist group, not a government buyer. The UK can't "cut off" supplies because it never provided them.
These are also factors in why there's been less visible protests for them, especially for Nigerian Christians.
Right wing groups don't seem to have protested or marched visibly in support of Iranian women, Nigerian Christians or Sudanese, either, unless I can't find the info on this.