。
She finished ironing the clothes a few minutes ago.
Literal
She [topic-は] several-minutes before [at-に] clothing [possessive-の] ironing [object-を] finished.
アイロンがけ means 'ironing' — アイロン (iron, from English) + がけ (applying/doing). 終えた (おえた) is the transitive 'to finish' — distinct from 終わった (intransitive, 'it ended'). 衣類 (いるい) means 'clothing/garments,' a formal word. 数分前に means 'a few minutes ago.'