That lady is almost here (3)
I believe the answer is:
her
'that lady' is the definition.
(her refers to a woman)
'almost here' is the wordplay.
'almost' means to remove the last letter (most of the word but not all of it).
'here' with its final letter taken off is 'HER'.
'is' acts as a link.
(Other definitions for her that I've seen before include "Belonging to the woman" , "Belonging to a female" , "The female's" , "In the Midlands she" , "She, objectively" .)