Women's Tefillah Group

Q: May women organize a Women's Tefillah Group with a Torah reading?
A: No. There is no such concept, it is a new creation. We may not invent Halachot. See what Ha-Rav Herschel Schachter wrote: that there are 12 prohibitions violated by acting in this way (Be-Ikvei Ha-Tzon pp. 21-37. See also Ha-Rav Soloveitchik in Mi-Penini Ha-Rav pp. 67-68).