"King Solomon is repeatedly chastised for backsliding into her worship after accepting Yahweh."

Indeed, but it's difficult to piece together a narrative from Kings and the Chronicles given scholars believe they were written down during the Babylonian exile centuries after King David and Solomon and other figures had dissolved into myth.

One widely accepted theory in the development of monotheism holds that the proto-Jewish people gradually separated themselves from surrounding culture rather than immigrating from an Egyptian exile. In support of this, scholars note that Yahweh was once a member of a pantheon called Elohim (host) that included both male and female divinities, worshiped by people who lived in what is now Israel and the Levant for a couple of millenniums at least before Judaism emerged as religious identity.

Modern Jews like to point out that Christians have it all messed up anyway, because g*d is neither male nor female and both at the same time, and that the most ancient Hebrew descriptions of Yahweh use masculine and feminine grammatical endings somewhat interchangeably.

As to references to Solomon in Kings with respect to worshipping other gods, I'm told nobody really knows if those are cultural memories, or if they were inventions from the Babylonian exile period, made for politico-religious purposes. It's unlikely, if I'm understanding correctly, that we'll ever be able to know.

But in any case, worship of the Divine Female certainly did end up dying out. I think the big question is, would that have happened without the rise of Christianity and Islam? After all, Greek and Roman cultures right up through the rise of Christianity worshiped the feminine all the time.

Would rabbinical Judaism have defaulted to the masculine for Yahweh quite so readily (noting that many Jewish scholars would insist that's not actually true) without the influence of Christianity?

Hard to know. But it does look like Islam and Christianity bore much more responsibility for the presumption that God is male than poor King Solomon 1,000 years or more before their rise.