I may get flamed for attempting to point this out, but this isn't a feminist thing. It's a broad liberal/left thing, which feminism had been closely aligned with for quite awhile. It boils down to dissenting views bieng marginalised by attacking the person voicing the idea rather than the idea itself. So people who are pro woman, minority, gay or whatever get tarred with accusations of mysogyny, racism, homophobia etc if you don't follow the majority line.
Broadly speaking we are all terrified of bieng ostracised with those labels, so in a lot of contexts it shuts people up. However it's come full circle with a lot of feminists being accused of transphobia for instance (unjustly imho for what it's worth), as this strategy is applied to them.
I've noticed following the cologne attacks that a lot of self identified feminists have tied themselves up in knots to avoid bieng labelled as islamaphobic, which is natural considering the recent pasting feminism has received in the media over trans issues.
In short our collective method of public discourse has been too much about virtue signalling and not really being prepared to engage with what the other side has to say, as people of varying degrees of intellect armed with this or that piece of advocacy research brandished as "evidence", and writing off anything the other side has to say as the baddies.
I am not a feminist, because to be perfectly frank I don't understand it. Yet I would agree unreservedly with Bertrand's first three points, and would humbly like to add equal access to to education (although to be honest education needs to be improved across the board for both girls and boys, and especially in low income areas). To engage with her last point what qualifies as damage and support as stated is too subjective as it stands.
However there are lot of other ideological positions that march under the banner of feminism from time to time that I can empathise with someone at first glance feeling alienated from the movement as a whole because of. Retreating back to a dictionary definition of what feminism is doesn't necessarily reflect everything that feminism does currently, or historically. Deigning to question an aspect does not make one a mysogynist, it may just mean your curious.