Duly hire new housing minister, ultimately in a rush (9)

I believe the answer is:

hurriedly

I'm a little stuck... Click here to teach me more about this clue!

'in a rush' is the definition.
I can't judge whether this definition defines the answer.

'duly hire new housing minister ultimately' is the wordplay.
'new' indicates anagramming the letters.
'housing' means one lot of letters goes inside another.
'ultimately' suggests the final letters.
The last letter of 'minister' is 'r'.
'duly'+'hire'='dulyhire'
'dulyhire' is an anagram of 'huriedly'.
'huriedly' enclosing 'r' is 'HURRIEDLY'.

Can you help me to learn more?

(Another definition for hurriedly that I've seen is " In haste".)

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.