Irritated, being required to cross lake (7)
I believe the answer is:
needled
'irritated' is the definition.
(I've seen this before)
'required to cross lake' is the wordplay.
'required' becomes 'needed' ('need' can be a synonym of 'require').
'to cross' indicates putting letters inside.
'lake' becomes 'l'.
'needed' enclosing 'l' is 'NEEDLED'.
'being' is the link.
(Other definitions for needled that I've seen before include "bugged" , "Provoked with sewing implement" , "Irritated (sl.)" , "Goaded or provoked" , "Provoked or teased with knitting implements? (7)" .)