This is a sensitive topic to debate. I will try to wade in carefully. There are a lot of people saying that the credential of being a previous NBA player is really important for this young team at this point in time. I don't know if that is true or not. Of course there is not going to be any female candidate that would be a former NBA player, it just isn't possible. That candidate (female and former NBA player) does not exist.
Statistically, it seems that there are fewer top coaches that are former NBA players than not. There have been really good coaches in either category. I just can't say how much that matters. The Celtics have had a lot of former players as coaches.
In terms of a woman coach in general, I wonder how the players would react. Would players be more likely to tune out a women over a man (players tuning out a coach happens a lot). I don't know this either but I feel there is some risk. If they do decide to hire a woman, I hope they are doing it for the right reasons and not to make a statement. Celtics' ownership is pretty savvy. I am sure that if they do hire a woman, that they will have considered the potential "tune out" factor and every other aspect.
They have every right to make a statement if that is what they choose to do and I can see that there is some good in that, to have the courage to be the first to hire a woman, but as a fan, that isn't what I want my favorite team to do. Even if a woman has the highest coaching credentials, scores the highest, whatever, there is still going to be more risk and pressure on that first one, both for the coach but also the players and organization. I know that is somewhat of a "not in my backyard" kind of position (supporting the concept of a woman coach in general but not really wanting my favorite team to be the one to take that first big chance), just trying to be honest in my analysis (for better or worse).