Intimidation
No one is intimidated by your intelligence. Literally no one.
Most intelligent and educated women fail to understand that the banality of their interests tends to render the theoretical appeal of their intelligent, educated company moot in the eyes of most intelligent and educated men. As a general rule, neither the interests nor the reading habits of the average high-IQ woman with an advanced degree are very different from those of the average uneducated yoga instructor.
The strong, intelligent, educated woman might drink better wine, have visited Europe for two weeks one summer, read the New York Times, and have some vague recollection of who wrote Euthyphro - not that she’ll actually recall anything about it - but she’ll still watch the same television shows as everyone else for four hours every evening. And the primary subjects of her conversational interest will be her family and friends.
Indeed, because the uneducated yoga instructor hasn’t been through four or more years of the same basic college indoctrination to which every intelligent, educated man has been subjected, she is less likely to harbor the intelligent, educated woman’s entirely predictable opinions defined by the mainstream media narrative.
So, it’s not “intimidation” that inspires the lack of expected male interest, but rather the failure to utilize those theoretical advantages in a way that might actually stoke an amount of it. Also, since men are not hypergamous, they don’t place the same value on intelligence and education in a potential mate that women do.
If a woman complains that she is chronically single because men "can't handle a strong, independent woman", it really means that she's an overbearing, opinionated shrew that no one can stand to be around for any length of time. Why do these harpies think a man of any value wants to come home from a hard day's work and "handle" their nonsense?
If anything, intelligent woman are just better at rationalizing their delusions. I knew a woman who claimed that she needed a man with an advanced degree because it is a "proxy for intelligence." Most of her views on any given topic could fit easily on a bumper sticker and were fairly predictable. Happy hour conversations would be similar to my HS graduate friends except these women can be even more insufferable. Despite her quibblings, she married a blue collar man, had a child, and ended up quite happy. Sometimes it's helpful to let these women talk themselves out of their "high standards" because they will ultimately look to their social group for validation. Don't be so eager to argue them down, it doesn't work. They'll either get over themselves or they won't and there's not a lot to be done about it.