Is there a term for: "Doesn't untap during next untap step"?
Short answer, "no".
Long answer, "noooooooooo".

However, in casual games I [personally] tend to use the term "locked" or "locked down" if something doesn't untap during untap phases at all.

As SocioMatt suggested in the comments, "exhausted" would be a good turn for a single-hit of this on creatures. For permanents in general, you could say "delayed" - or for flavour representing disruption of a player's magical link to their permanent, something along the lines of "obscured" or "tangled".