1) Ill-natured 2) Like Kate 3) Nagging 4) Playing the virago 5) Termagant 1) Nagging 2) Naggy 
• (a.) having the qualities of a shrew; having a scolding disposition; froward; peevish.
Shrew'ish adjective having the qualities of a shrew; having a scolding disposition; froward; peevish. « My wife is shrewish when I keep not hours.» Shak. -- 
[adj] - continually complaining or faultfinding
shrewish 1. Continually complaining or faultfinding; such as, a shrewish wife. 2. A quarrelsome, ill-tempered disposition.
nagging adjective continually complaining or faultfinding; `a shrewish wife`; `nagging parents`