Are there any examples of songs, poems, piyyutim or kinnot from the time of the first temple until the 1700's (c.e.) which were authored by women and were adopted by traditional/orthodox communities.
By adopted I mean either sung, or included in a standard edition bentcher or song/prayer books.
A fifteenth-century Spanish poet, Merecina of Gerona, composed a piyyut called מי ברוך נורא ואדיר. Unlike other Hebrew poetry by Jewish women prior to the 18th century, this work was discovered in a Sephardic machzor, and thus likely used communally. In addition to her name appearing as an acrostic, the poem in the medieval machzor contains the following preface:
זמר זה עשתה אשת חיל הגבירה מרת מרזנא הרבנית מגירונה
The song was composed by a woman of valor, the lady Merecina, the Rabbanit from Gerona.
Today, the piyyut appears in Aliza Lavie's Tefillat Nashim, p. 197, a very popular bestseller in Israel celebrated by a spectrum of religious and secular communities. The book, which contains a few other prayers from before the 1700s, was also published in English as A Jewish Woman’s Prayer Book, but doesn't contain Merecina's poem there.
I can't speak to the piyyut's widespread acceptance specifically, but to add that Lavie's book has become a cross-cultural hit in Israel. As this 2009 article from The Forward mentioned:
Lavie...has been invited to speak across the religious spectrum, from Jerusalem’s most fervently Orthodox precinct, Mea Shearim (where her hosts asked her to wear a wig, which she promptly went out and purchased), to a fervently secular kibbutz (where she gave a talk to prepare members for their first Yom Kippur worship).
