At home with nurse? That's mean! (6)
I believe the answer is:
intend
'that's mean' is the definition.
(to intend to something is to mean it)
'at home with nurse?' is the wordplay.
'at home' becomes 'in' ('I'm in' can mean 'I'm at home').
'with' says to put letters next to each other.
'nurse?' becomes 'tend' (tend can mean to nurse or look after).
'in'+'tend'='INTEND'
(Other definitions for intend that I've seen before include "Purport" , "1 dn [DESIGN]" , "Signify" , "Plan, propose" , "Have as purpose or resolve" .)