noun
worn out from household cares; haggard from domestic life
Describes a person who looks tired and worn down by the demands of running a household, often used for homemakers.
子育てと家事で、彼女はすっかり所帯やつれしてしまった。
With child-rearing and housework, she has become completely worn out from household cares.
やつれる is a general verb meaning 'to become haggard' or 'to be worn out', while 所帯やつれ specifically attributes the cause to household responsibilities.
Compound of 所帯 (しょたい, 'household') and やつれ (the continuative form of やつれる, 'to become haggard').