The thing which hurt the US is the activities that its present government has been taking - and those activities are what people overseas are upset about.
Indeed, you need to re-break a break sometimes, but it is not an action that harms the break or the person: it is the only action that enables them to heal. We judge if they are harmed or not by the result, and the result of this method of treatment if correctly followed is decidedly good. So it's not true that temporal pain is implicitly indicative of harm.
The people who are in power in the US right now do not represent the real will of the people and thus they do not have the people's mandate. As such, no matter whether the EU withdraws from a trade deal with the current US government, it is not withdrawing from a government which is of the real people. As such, it would in fact be right of the EU to withdraw its agreement with the current US government so that more truth about the degree of legitimacy of the current US government is revealed. It's only by admitting the truth that we can finally start to go on the right path. To continue the way things are going now, where these dire problems are hidden, is even more painful to truthful people than it is to have the truth come out. Because the truth always exists.
I hope this helps things make more sense to you.
I already answered your question that you're somehow still demanding an answer to. There's a TV channel devoted to people who want to ignore the fact that someone responded to their question and make conveniently and intentionally false accusations in an attempt to discredit them.
I broke my hand once, and before I could get to the hospital the bone started to heal. It needed to be rebroken in order to heal properly. Sure the doctor broke my hand out of love for his patient. IT STILL FUCKING HURT.