What does 一票 mean here?
一票否决 means "rejected just because of that thing alone", i.e. "rejected by one vote". It comes from the sense of vetoing, but more specifically the kind of vetoing power the UN security council members get; i.e. whenever a single reject vote is cast, the entire thing is rejected. It is usually only in this sense that Mandarin uses the expression 一票否决. The vetoing power of the US president, for example, is simply expressed with 否决, and 一票否决 in that context would strike as highly unusual.

So you see, in an imagined "holistic evaluation", many parts are considered. So if something has the 一票否决 power, then it means that as long as that one thing is unacceptable, then the entirety is rejected.



It does not mean "rejected by anyone". In this sentence, the sense of "anyone" is conveyed by


  走到哪儿都会


i.e. "no matter where he goes".