Isn't she like 4 or something
Yeah, but she's a businesswoman in a cutthroat industry, and she just stumbled by complete coincidence upon a girl that by her standards has the makings of a once-in-a-century superstar. The fact that she could tell this even though the girl is still 4yo makes it even more imperative for her to do everything she can to ensure that said girl eventually goes on to join her idol agency.
Oh right, for those who haven't noticed, this CEO is the same one from the
Delinquent Idol manga, just many years younger. Given what we see of her in that other series, we can rest assured that she's generally ethical if not morally upstanding.