She wanted any kind of job.

Literal

She [topic-は] any job [even-でも] was-wanting.

どんな~でも is the universal-quantifier pattern with affirmative force: 'any X / whatever X.' Distinct from どんな~も/にも which often combines with negation. Here it pairs with the affirmative 望んでいた ('was wanting / had been hoping for'), expressing willingness to accept any job at all. 望む ('hope for, want, desire') is a slightly elevated written register compared to 欲しい (the everyday adjective for wanting things). The past progressive 望んでいた frames the wanting as ongoing through some past period — perhaps a stretch of unemployment.