African rushed, carrying pale and sickly daughter (7)
I believe the answer is:
rwandan
'african' is the definition.
(Rwandan is an example)
'rushed carrying pale and sickly daughter' is the wordplay.
'rushed' becomes 'ran'.
'carrying' means one lot of letters goes inside another.
'pale and sickly' becomes 'wan' (I've seen this before).
'daughter' becomes 'd'.
'wan'+'d'='wand'
'ran' placed around 'wand' is 'RWANDAN'.
(Other definitions for rwandan that I've seen before include "African native" , "Kigali native, perhaps" , "Eg, a native of Kigali" , "From a central African country" , "African chap" .)