As a deity name
Name 90 of the Gayatri Sahasranāma — Devi Bhagavata Purana, as taught by Sages
As a Hindi name
No reading on this path — this spelling has no entry in our Hindi sources, and no near neighbour is attested there either. We say so rather than invent one.
As a Sanskrit word
Meaning
as, ‘Hymn - Veda’ or ‘Veda of praise’, the Ṛg-veda, or most ancient sacred book of the Hindūs (that is, the collective body of sacred verses called Ṛcas [see below], consisting of…
Scripturally attestedWhy this matches what you typed
M1 · same meaning "ṛgvedāyai" is the dative of "ṛgveda" — the same word in a different grammatical case.
Dictionary citations
ṛg—veda as, m. ‘Hymn - Veda’ or ‘Veda of praise’, the Ṛg-veda, or most ancient sacred book of the Hindūs (that is, the collective body of sacred verses called Ṛcas [see below], consisting of 1017 hymns [or with the Vālakhilyas 1028] arranged in eight Aṣṭakas or in ten Maṇḍalas; Maṇḍalas 2-8 contain groups of hymns, each group ascribed to one author or to the members of one family; the ninth book contains the hymns sung at the Soma ceremonies; the first and tenth contain hymns of a different character, some comparatively modern, composed by a greater variety of individual authors; in its wider sense the term Ṛg-veda comprehends the Brāhmaṇas and the Sūtra works on the ritual connected with the hymns), AitBr.; ŚBr.; Mn. &c.
ṛgveda m. (-daḥ) The Ṛc or Ṛk Veda, the first of the four Vedas. E. ṛc and veda a Veda.
Caveats
Sources contain errors and engines have limits; every claim above carries its citation so you can verify it. This is guidance about names and their sources — not religious or astrological consultation. How we work · Our sources