Blast that heartless guest! (4)
I believe the answer is:
gust
'blast' is the definition.
(a blast of air)
'heartless guest' is the wordplay.
'heartless' suggests removing the centre.
'guest' with its middle removed is 'GUST'.
'that' is the link.
(Other definitions for gust that I've seen before include "Sudden blast of wind" , "Puff (of wind)" , "Sudden blow of wind" , "Flurry" , "Squall" .)