Will you please provide a few sources for davening separate fom women with a mechitzah from Tnach and from the Talmud?

Shalom U'verachah, The major source is the Gemara in Succah (51b-52a) that describes the partition between men and women in the Temple. There is also a book called "The Sanctity of the Synagogue" that you may want to consult. Kol Tuv