IPA: /ˌɪm.pɔːrˈtjuːn.li/
KK: /ɪmˈpɔrtʃənli/
In a way that is persistent and often annoying, especially in asking for something.
She importunely asked for help even after being told to wait.
Importunely → It is formed from "importune" (from Latin "importunus", meaning unfit or inconvenient) and the adverbial suffix "-ly" (meaning in a manner of). The word "importunely" means in an unfit or inconvenient manner, often implying persistence in a troublesome way.
Think of being persistent in a way that is 'unfit' or 'inconvenient' — that's what 'importunely' means.