I've never met a divorced parent who doesn't have at least some amount of regret about what their children went through as a result of their divorce. That regret in and of itself is not a problem. But if you get mired in it, you can end up compounding the damage. And that is a problem.
Are we apologizing in order to navigate our way through a still-sexist workplace, where issuing normal demands and requests can still brand a woman as "difficult" in the eyes of her coworkers? Are we apologizing to appear more likable? Are we genuinely stepping on a lot of strangers' feet?