Relaxed, being pressed to dismiss His Majesty (5)
I believe the answer is:
eased
'relaxed' is the definition.
(I've seen this in other clues)
'pressed to dismiss his majesty' is the wordplay.
'pressed' becomes 'creased'.
'to dismiss' suggests deleting specific letters.
'his majesty' becomes 'CR' (Charles Rex - ie King Charles).
'creased' with 'cr' taken away is 'EASED'.
'being' acts as a link.
(Other definitions for eased that I've seen before include "Abated" , "Released pressure" , "Given relief" , "Made less hard" , "Made less stressful or difficult" .)