Set out to host dear foreign people who make an impression (7)
I believe the answer is:
etchers
'people who make an impression' is the definition.
'etchers' can be an answer for 'people' (etcher is a kind of person). I am not sure about the remainder of the definition.
'set out to host dear foreign' is the wordplay.
'out' indicates anagramming the letters (out can mean wrong or inaccurate).
'to host' means one lot of letters goes inside another.
'dear foreign' becomes 'cher' (I can't explain this - if you can you should believe this answer much more).
'set' with letters rearranged gives 'ets'.
'ets' going around 'cher' is 'ETCHERS'.
Can you help me to learn more?
(Other definitions for etchers that I've seen before include "Producers of some pictures" , "They organise eating out" , "They do impressions" .)