I think the formation of Christianity itself already fundamentally altered the core of Jesus's teachings, but that's besides the point. From what I gather, it was wealthy women who were financially supporting Jesus and his followers, and there are a few scant mentions of female apostles in the New Testament as-written anyway. I think there were enough women in the movement to make such a thing plausible, at least as a splinter sect (of which there were many in the early years).
Mind you, whether the specific sect that's practicing this would prove successful enough to change the movement, or propel the movement to the kind of success it had OTL, is another thing entirely. I suspect a lot of Christianity's misogyny is simply a byproduct of the broader culture from which it emerged, with theological conclusions made to match that prescribed outcome rather than derived from the teachings themselves, so chances are a more women-friendly early Church would have a harder time proselytizing itself than the OTL Church.
Which is a shame, because I'd really like to see that POD, lol