Deus Ex Machina is the common term for a trope in which something not previously established (originally, a god) suddenly appears to resolve the plot. It's an old enough term that it's used here in the wiki. It's also surprisingly punnable, and that's what's going on here.

It's not just snowclones -- similarly named tropes likeDeus Est Machina are not about shoehorning plot resolution and are thus not included.

See also:

• How to Stop the Deus Ex Machina
• "Deus Ex Sewing Machina" -- seeProblem Sleuth
• Deus Ex
• Ex Machina

• Trope
• Just for Pun
• The Plot Demanded This Index