In English, we have "church services" or "worship services". This is similar.
Abbott-Smith wrote:λατρεία, -ας, ἡ (< λατρεύω, q.v.), [in LXX (always of divine service): Ex 12:25-26 13:5, Jos 22:27, I Ch 28:13 (עֲבֹדָה), I Mac 1:43 Mac 2:19 Mac 2:22, III Mac 4:14 * ;]
1. hired service, service.
2. (in cl. also) divine service, worship: Jo 16:2, Ro 9:4 12:1, He 9:1, 6.†
Abbott-Smith claims it always refers to divine service in the Septuagint and New Testament. It's derived from the verb to serve:
Abbott-Smith wrote:λατρεύω (< λάτρις, a hired servant), [in LXX (always, as λατρεία, of the service of God or of heathen divinities) chiefly for עָבַד, Ex 3:12, al.; in Da LXX TH (Da 3:12, al.) for פְּלַח ;]
1. to work for hire.
2. to serve; in cl., also of divine service, to serve, worship, and so always in NT: c. dat. pers., τ. θεῷ, Mt 4:10, Lk 4:8 (LXX), Ac 7:7 24:14 27:23, He 9:14, Re 7:15 22:3; of idol worship (cf. Ex 20:5, Ez 20:32), Ac 7:42, Ro 1:25; τ. θεῷ. ἐν τ. πνεύματί μου, Ro 1:9; id. ἐν καθαρᾷ συνειδήσει, II Ti 1:3; μετ' εὐλαβείας κ. δέους, He 12:28; ἐν ὁσιότητι κ. δικαιοσύνῃ, Lk 1:74; (without θεῷ) νηστείαις κ. δεήσεσι, Lk 2:37; πνεύματι θεοῦ, Phl 3:3; absol., Ac 26:7; ὁ λατρεύων, the worshipper, He 9:9 10:2; of ministerial service, c. dat. rei, He 8:5 13:10.†
Here also, Abbott-Smith seems to indicate that it always refers to divine service. Incidentally, the English word idolatry is derived from λατρεία:
Abbott-Smith wrote:εἰδωλο-λατρία (-εία, Rec.), -ας, ἡ (< εἴδωλον, λατρεία),
idolatry: I Co 10:14, Ga 5:20, Col 3:5; pl. (Bl, §32, 6), I Pe 4:3 (Cremer, 390).†