His Excellency at ballet centre sinks into some terrible situations (4-5)

'some terrible situations' is the definition.
I know nothing about this answer so I can't judge whether it can be defined by this definition.

'his excellency at ballet centre sinks' is the wordplay.
'his excellency' becomes 'HE' (abbreviation).
'at' is a charade indicator (letters next to each other).
'centre' indicates the central letters.
'sinks' becomes 'holes' (I can't explain this - if you can you should believe this answer much more).
The middle of 'ballet' is 'll'.
'he'+'ll'+'holes'='HELL-HOLES'

'into' is the link.

Can you help me to learn more?