Mark 14:11: And when they heard [it], they were glad, and promised to give him money. And he sought how he might conveniently betray him
and all other verses mentioning Judas betraying Jesus.
In what sense did Judas betray Jesus? Is it only in the sense of "giving Him away" to the soldiers by revealing His whereabouts or in the sense of breaking some important promise given to Jesus? I don't recollect any such episode in the Gospels when Judas would promise to be faithful to Jesus (like, for example, what Peter did).
Does the Greek word "betray" in all these cases related to Judas imply breaking some vow or promise?
On the other hand, if it's the "give away" sense, then it looks to me a bit contradictory to these words:
Are ye come out as against a thief with swords and staves for to take me? I sat daily with you teaching in the temple, and ye laid no hold on me (Matthew 26:55)
Indeed, Jesus was not a criminal and wasn't hiding, so it was not really a hard task, I think, to find Him. At least, there wasn't a need, I think, in finding "someone of His men" who would give Him away. Soldiers could have just asked crowds or just waited until Jesus came to the temple again.
Can anyone, please, explain this to me?