I think I have that part down and it makes sense. Here is the way I look at this. Trump is the doctor and Ivanka is going to watch.
Right. Ok. I am sure that many Rabbi's would agree with you. But then it comes down to the more grey are of like skyguy918 said of how you ask the question.
What if there are multiple nurses available but the Dr. works better with a specific nurse. If there is a 1% chance of the Dr. getting better results with that nurse there, probably a good chance that the Rabbi would also allow her to break shabbos. If US relations with Saudi Arabia would be even a little better or they are willing to share even a bit more intelligence for work more with Israel, if Ivanka and Jared are in attendance representing Jews in general I can see some Rabbis giving them a heter to go.
ETA: Think of a Rabbi deciding if a medical issue is life threatening, he will almost always rely on a Doctors opinion. But even Dr's will argue whether something is life threatening or not, so in many cases there are grey areas and how you ask makes a difference.