A woman died, to be sure: but she died before the order was issued, and the pathetic story concocted by her son was a lie.
Philosophically speaking, it hardly matters. Trump's order made possible such a scenario, even if it didn't play out. It's one of the hard problems you take on with that kind of authority: your decisions have unintended consequences, and sometimes they can be awful. You have to bear responsibility for them even though you may never have imagined them.
By sad coincidence we have a real life example of that in the other story about the new President today. He left the White House with no destination announced, apparently shocking lots of people. It turns out he was flying out to meet the body of the Navy SEAL who died in the raid in Yemen, the first military action Trump has ordered. The family requested no publicity, which is hard to make coincide with a Presidential visit, but he somehow made it happen.
So this other thing didn't happen, but it might have; he avoided the guilt of it, but only by accident. This is one reason I've never sought power over the lives of others, only the power to hold my own. It's an awful responsibility.