Even if that is true intersex and transgender are very, very different. Intersex but biologically female could mean some XY chromosomes but that is far more common than you seem to realize. From Snopes:
There are genetic conditions, termed differences of sexual development, in which biological females are born with XY chromosomes but possess female anatomy, or that affect how a biological female regulates and reacts to testosterone, causing levels typically associated with males. Though there is no independent confirmation that Khelif has these conditions, people born this way would legally be considered female or intersex.
Debates over these issues in the context of women's sports have nothing to do with a purported "woke" or "trans agenda," because such instances involve women who were born as women, identify as women and have not undergone any sex reassignment surgery or procedure to change this fact. That is what IOC spokesperson Mark Adams meant when he clarified to the press "this is not a transgender issue."