I'm not really a fan of Minos' invulnerability phase. Bearing in mind, I didn't really have an issue with it personally, but given that it's the very first boss, it feels REALLY BAD to get to the boss and potentially lose AFTER killing her because you couldn't manage what feels like a random Safety Dance activity where your build functionally ceases to matter. Just something to consider for other players.
#[Suggestion]
rain igloo
My suggestion in this case, I guess, would be to extend the fight a little by giving Minos a bit more health and nix the invulnerability sequence, but otherwise leave it the same, because as it stands, I feel like Minos is an incredibly fun boss fight right up until the frustrating end phase.
The invulnerability is an interesting IDEA, but in execution, I feel like you'll end up getting a lot of complaints and bad reviews from more casual players given that it's the very first boss they'll encounter. I can see that being a point that makes those sorts of players just outright give up, and even leave a bad review on reflex.