Cairo likes the wild beast within Enid, but when she sees May she's like "well shit, its kinda nice over hear" and she'll do anything to plant herself within that family even if it comes off to enid as "wtf?" but at least May seems to enjoy her company.
And since Enid is a single parent she checks in on how May feels REGUALARLLY because she doesn't know how to feel about the woman, but if her pup is good and comfy she can be too
i dont think cairo would really.. care for the wellbeing of a child if its not hers. She's selfish and uncaring like that
but when she sees how kind enid handles may's tiny hand in hers? it leaves cairo thinking
or, cairo is lowkey fatherless and enid kinda.. awakens something
also maybe during a tryst, Enid notes of the time and stops midway to pick up may. Cairo follows, always curious and never knowing much about her lover's actual life.
I like to think that they have always been on a schedule and this is the first time they got together a bit later in the day, so imagine her shock when she realizes that enid isn't some brute angry dog but an actual caring parent