He did not approach her to minister to her. He wanted a cup of water. Had she simply given him the water and no backtalk, we have no reason to think anything would have come of it.
Yeah, you’re right. The King of Kings, the Savior of the Universe, the 2nd Person of the All-Knowing Godhead … he probably had
no idea that she was in need of healing and conversion. What was I thinking?!?!?!?
And I think “minister” may be too strong a term - he did not heal her or forgive her sins.
I think your take on the meaning of ‘ministry’ is a bit too narrow.
He approached Jesus. I said Jesus never ministered to a gentile who did not approach him first. It is true that we have no record of Jesus giving any pushback, as he did with the Cananite woman.
Actually, you said, “we have no record that Jesus ever approached and ministered to any gentile, though he did (sometimes reluctantly) minister to them if they asked him.”
OK – so, at the very least, you’ve admitted that the “reluctantly” part is false. That’s a start.
And, if you meant “approached and ministered”, but not “approached
or ministered”, then ok. However, does Jesus generally seek out those upon whom He performs miracles, or do they approach
Him? I think the distinction you’re trying to draw out is insignificant. But… as I pointed out, He
did approach the woman at the well, and ministered to her. (I think we can make the case for the Gerasene demoniac though, can’t we?

)
Hello??? Diaspora! There would have been a sizable Jewish population in these gentile towns, as well as every other gentile town (and the same holds true today - lots of Jews live in Portland). There is no account of Jesus ministering or preaching to gentiles in these towns.
No – there is no account of whom He preached to,
at all. Perhaps it’s as much a presumption that He preached to Gentiles as it is that He preached to Jews… but we see in the accounts that He’s ministering to Gentiles – not to Jews. That’s a telling point, I would assert.