As a gay man, I am often confused by the notion of striving for equal rights. It is not the equal part that is confusing. It is the striving.
On one hand, there is a need to identify with a cultural brand, e.g. gay. On the other hand, there is a quest for rights that everyone else has. With that, is also a quest for opportunities, and the subsequent success and power that others possess. Each of us decides our own definition of success and power. Take charge of yourself, create your own definitions of success and power, and be the captain of your own ship.
The fact is, women apologize far more often than men. And we apologize for different reasons, often to convey sympathy rather than responsibility. Care less. Apologize less. Or at least count the number of times you say, “I’m sorry,” compared to your male peers. Let people take responsibilities for their own mistakes. It won’t kill them.