Ten-minute color does not mean a ten-minute appointment
Sinister Salon in Rockaway lists Express Root Color at $55 with a 45-minute appointment duration. The description calls it a 10-minute color service for up to half an inch of regrowth and explicitly excludes a blowout. Those are three different booking details: the color description, the time reserved and the finish included.
Before fitting color into a lunch break, ask when you should expect to leave and whether you will leave with wet hair. Mention how much regrowth you have and whether you want a haircut or blowout. Book those additions in advance rather than assuming a short color service leaves room for them.