娱

Left-side woman radical - pictograph of a kneeling figure with crossed arms, the indexing radical for many social-relation chars (姐 sister, 妈 mother, 婚 marry). In 娱 the radical carries a softer association - entertainment in old courtly contexts often centered on female musicians and performers - though the connection has since faded.

Right side 吴 supplies the sound - wú drifting to yú through a w/y palatalization shift well attested in this small phonetic family. 吴 itself depicts a person with mouth open tilting their head, sometimes glossed as 'loud, boastful.' That tilt-the-head-and-shout sense fits faintly with the playful entertainment meaning of 娱.