You're wrong.

Here's why I think that: TERFs are literally the opposite of intersectional: they think they're feminists, but only want to protect a very small subset of women (cis women for sure, but really: white, straight, traditionally feminine, conservative cis women) . TERFs look at only one facet of womanhood at legitimate and are willing to hurt all other women (including many cis women) in order to achieve their self-serving goals.

Intersectional feminism is about considering the various perspectives and axes of identity in relation to one another, so that, for example, Black women have a seat at the table, trans women have a seat at the table, lesbians have a seat at the table--and their voices and their unique perspectives as women are treated as valuable, but not only that, but that the struggles unique to them (for example, trans women being able to access gender-affirming healthcare) are something we all must fight for, regardless of if it individually affects us.