The main problem in the short term is that the GOP have unleashed a legal nightmare so awful that a lot of law societies are actually being VERY conspicuous in their total silence on the issue.
A lot of people say "We're just going back to 1972" but that's not the case at all, not even remotely, due to (among many other things) the hideously badly-written trigger laws which treat abortions as capital murder, as in eligible for the death penalty.
Just ONE example of the unintended consequences is that it's possible - likely even - that OBGYNs and possibly other doctors will be literally unable to practise in states where abortions are treated as murder. No insurance company will touch them and even if they did, how many docs are up for risking execution (or a lengthy and bankrupting court ordeal) every time a patient of your miscarries. Anywhere!
You hear, "But wait, the cops will just ignore that, right?" LMAO I think we know no one can count on this. Also, since they're murder cases, either the cops will be forced to basically be just investigating phony non-murders day-in day-out, or will be trapped in a limbo where someone else will give them shit for not investigating a murder. Not only does that mean politicians or senior cops - Texas still has it's bounty snitch law on the books!
So that's already going to be just fucked. What doctor is going to risk that? What med school for that matter? Red States may see some medical schools and campuses close entirely, since enrolment in those states is likely to drop like a rock.
Not to mention the effect of women basically fleeing red state campuses. The ratio of women to men in those places will become worse and worse, likely leading to an increasingly stupid level of machismo bro culture. The few women who remain will be obvious targets for rapes and sexual assaults, and that cycle's only going to worsen from there on out, leading to fewer women, who become bigger targets.
All sorts of possible consequences there, Universities and colleges may end up having to fully segregate by gender if they wish to retain any female enrolment at all. Enrolment by women will probably drop on an overall basis. The GOP is more than happy with those sorts of changes.
The big question is how much sheer legal chaos the US is in for, and for how long.
If that sounds extreme, well, look at family photos from Iran (or other mideast countries) from the mid-70's and then look at ones from the mid-80's. Couple of years and it was normal. Now women in the US do have more freedom historically than most women in the mideast did, sure; the political systems in those countries was still completely dominated by men. Whereas the US has seen women in positions of power for decades, so yes, there's going to be more resistance in the US. But if it took less than a half-dozen years elsewhere, I wouldn't say you can count on fighting the good fight forever without either victory or death.