"下付き出会い" can be translated to **"Subordinate encounter"** or **"Encounter with a subordinate"** in English. This phrase refers to a meeting or encounter involving someone in a lower position or rank, depending on the context.

We only introduce encounters with subordinates! If you're looking for encounters with subordinates, then it's definitely encounters with subordinates!

(Note: The translation maintains the repetitive tone of the original Japanese sentence, but the context might still be somewhat ambiguous in English. "下付き出会い" literally means "encounters with subordinates," but depending on the context, it could have a more specific or nuanced meaning.)