It's a long posed ethics dilemma, usually based on an emergency room with a doctor doing triage on some number of patients with some varying number of serious and minor injuries.
Fast forwarding through all the discussions: yes, you would be a killer. The moral permissibility of the action doesn't negate the nature of the action. You could potentially be a lifesaver, depending on the context of the killing and your intent.
No, it's not always wrong to be a killer, or to sacrifice someone to save others.
Yes, it almost always is wrong though.
No, it's not realistically possible for someone making that decision to know the caveats that might make the sacrifice justifiable.
In general the practical ethical action is to prioritize the "sure thing", and otherwise direct your efforts where they can do the most good in a situation where there's limited time of resources to treat everyone.
The guy coming in for a physical is nearly certain to survive, so he should be told to leave and promptly ignored until he stops being healthy.
The unresponsive guy with a concave dent in the middle of his chest, not breathing, and a weak irregular pulse has pretty low odds, so you make sure his head is positioned well if he starts breathing and move on.
The person with a bubbly chest wound and wet bloody cough is probably able to be saved if you help them.
Sacrificing people who would have lived just keeps those people away from the hospital, so it does more net damage and costs lives, from a strictly utilitarian perspective that ignores "bodily autonomy" and the like.
The way I read it is that the killer had no prior knowledge of the victim's organ donor status. It sounds to me like a killer retroactively trying to justify their actions.
There is an Indian TV series (Amazon Prime Original), named Breathe. A father starts killing people who have been listed as organ donors, one by one, until his son gets new lungs.
The trolley problem is a series of thought experiments that should be morally equivalent. In all variations, the reader can choose to take an action that will directly result in the death of an innocent person who was otherwise ‘safe’, or do nothing and allow a larger group of people to die, and ask what is the morally correct choice.
There’s no right answer to the trolley problem. The interesting take away is that what most people agree is the morally correct answer depends how the problem is framed.
When the situation is framed as “you’re deciding between one person dying and many people dying” most people will agree the morally correct choice is the one where the fewest people die.
But when the situation is framed as “are you justified in murdering an innocent person to save many” most people agree the morally correct answer is no.
There’s even one variation where is is considered by most morally correct to murder one person to save many, if the person you’re murdering is responsible for putting the larger group in harms way in the first place.