εἰσδύεσθαι
From LSJ
Νέµουσι δ' οἴκους καὶ τὰ ναυστολούµενα ἔσω δόµων σῴζουσιν, οὐδ' ἐρηµίᾳ γυναικὸς οἶκος εὐπινὴς οὐδ' ὄλβιος → They manage households, and save what is brought by sea within the home, and no house deprived of a woman can be tidy and prosperous
Greek > English (Woodhouse Verbs Reversed)
(see also εἰσδύνω): enter, creep into, enter as an interloper, foist oneself on, glide into, insinuate oneself into, intrude on, steal in, steal into, worm one's way into