Well, it's an interesting topic. How do women living in extremely restrictive societies think of themselves when they break out of those restrictions?
To answer that question with 'they think of themselves as nonbinary' would obviously be nuts and ahistorical. Surely you could argue that many did explicitly acknowledge that they were carrying out actions and roles only associated with men. Which is why they used theology to argue that God wanted them as women to do these things, and that they would never have stepped out of the restrictions on modest women if it hadn't been for God. Essentially the 'nun as a bride of Christ' idea - that women not governed by men weren't an existential risk to humanity because in fact they did have a husband, Jesus. It was a feature of Tudor thought that meant Elizabeth replaced the bride of Christ idea - too Catholic - with the concept of being the virgin bride of the nation.