Where does “katechumenka” come from?

katechumenka (Polish) comes from Polish katechumen, from Latin catēchūmenus, from Ancient Greek κατηχούμενος, from Ancient Greek κατηχέω, from Ancient Greek κᾰτᾰ-, from Ancient Greek κατά, from Ancient Greek καταστερίζω, from Ancient Greek ἀστήρ — to be/become dry; to burn, to glow; hearth.

Ancestry of “katechumenka”, step by step

Step	Language	Word	Meaning
1	Polish	katechumen	catechumen
2	Latin	catēchūmenus	catechumen
3	Ancient Greek	κατηχούμενος	being instructed
4	Ancient Greek	κατηχέω	to resound; to teach by word of mouth
5	Ancient Greek	κᾰτᾰ-	fully; down; denoting motion downwards
6	Ancient Greek	κατά
7	Ancient Greek	καταστερίζω	to place among the stars; I put among the stars
8	Ancient Greek	ἀστήρ	a celestial body; illustrious person; starfish
9	Proto-Hellenic	astḗr	star
10	Proto-Indo-European	h₂stḗr	star
11	Proto-Indo-European	h₂eHs-	to be/become dry; to burn, to glow; hearth

Every word from Proto-Indo-European h₂eHs- →Every word from Proto-Indo-European h₂stḗr →Every word from Proto-Hellenic astḗr →