Theclarks, congrats on your bfp & your divorce. I'm really sorry about your previous losses & divorce. You won't ever find judgment here, and tmi doesn't exist either.
I'm not sure I understand your dilemma, but I'm going to give it a go. You're worried about this pregnancy because of all your previous losses but you don't want to go to the doctors because you unofficially think you committed adultery? And since you're just about to divide assets/estate then you don't want news about your bfp getting in the way?
If that's the case maybe you should speak with your lawyer or if you don't have one then you could just speak to one for free for 30 minutes (possibly an hour) of they offer free consultation.
However, whether you speak to a lawyer or see your doctor then both need to abide by confidentiality.
I'm not entirely sure how it applies in the us, but in the UK if you've already separated & especially if you're living apart then you should be OK & it's not even adultery anyways. You are, however, lucky to be in the USA. In the UK a smooth/simple divorce takes minimum 9 months.
I'm really sorry if I completely misunderstood that.
On another note, I think Tmb may be right in that there may not be much that can be done. If you're already pregnant and the pregnancy isn't viable then it'll be too late for treatment. The only thing you could probably do is rest, rest, rest and rest some more. Treatments would usually be done before gettingb pregnant to prepare & make any adjustments to your body. There technically isn't even much evidence that progesterone helps even if you were given some now.
Have you been taking your folic pills?
I'd stock up on as much healthy nutrition possible, relaxing & stay positive. You could probably get some blood tests if you wanted to see if your levels are headed in the right direction.
Good luck, hugs & loads of sticky dust. Keep us updated!