I avoided the word never, but for the most part, I wouldn’t (didn’t actually).
I’m tempted to tell you that it’s appropriate for a shadchan to shame someone into another date, just so I won’t have to hear from you again. 🙂
However, as I posted earlier, I don’t like that the shadchan called her immature. There’s a difference between pressure (or nudging, as I called it) and name calling (or shaming, as you call it) which is offensive , and in the long run, counterproductive.
Looking back at the OP, the shadchan said that saying no is a little immature, which although might be unwise to say, is not the same as saying that the girl is immature.