Ok, deep breath, this is my divergence and why I do not call myself a Feminist - as someone who is openly Catholic, this will come as no surprise, but I am pro-life, anti abortion etc.
But, I don't think for a second that abortion access is under threat at all in the UK. I don't even think overturning Roe V Wade, should it happen, which I don't think it will, would have much effect in the US, where this is much more of a live issue. It would just throw the issue back to the individual states. But that's the US, which is culturally and politically very different to the UK.
Jacob Rees Mogg is a popular figure, and yep, he's against abortion. But he's not prime minister, and even if he were, abortion is a free vote, conscience issue in the house, and as the overwhelming majority of MPs are not even slightly anti abortion, why do people think Rees Mogg's views and mere presence in that democratic chamber constitute any kind of threat to the current situation?
Given that the current situation is that prayer outside abortion clinics is banned in at least one place, home abortions are very likely on the cards, access to abortion is on demand in all but name, and most people think that abortion should at least be legal, even if they don't always agree on the time limit, I don't see at all why the existence of Rees Mogg would lead anyone to conclude that abortion access is under threat...