Where does “Feinbäckerin” come from?

Feinbäckerin (German) comes from German Feinbäcker, from German Bäcker, from Middle High German becker, from Old High German beckeri, from Proto-Germanic bakārijaz, from Proto-Germanic -ārijaz, from Latin -ārius, from Proto-Italic *-āzios — Forms relational adjectives to nouns (and rarely numerals).

Ancestry of “Feinbäckerin”, step by step

StepLanguageWordMeaning
1GermanFeinbäckerspeciality baker male or of unspecified sex
2GermanBäckerbaker; agent noun of backen
3Middle High Germanbecker
4Old High Germanbeckeri
5Proto-GermanicbakārijazOne who creates baked goods; baker
6Proto-Germanic-ārijaz-er
7Latin-āriuser
8Proto-Italic*-āziosForms relational adjectives to nouns (and rarely numerals)
Every word from Proto-Italic *-āziosEvery word from Latin -āriusEvery word from Proto-Germanic -ārijaz