。
She's at her wit's end trying to manage the household budget.
Literal
She [topic-は] household-budget [of-の] juggling [over-に] head [object-を] is-clutching.
頭をかかえる (literally 'clutch one's head') is a vivid set phrase for being deeply troubled, perplexed, or at one's wit's end — the image is exactly what it sounds like: someone holding their head in despair over a problem. やりくり means 'making ends meet, juggling, scraping by' — keeping things running with limited resources, especially money or time. 家計 is the household budget or financial management. The に here marks the situation that's causing the trouble — 'troubled by/over the household budget.' Together the sentence sketches someone struggling to make a tight budget work.