We finally got the badge, my husband and I are hosts, but he also put me as co-host, so the badge is in his profile although most people see my profile first.
I don't know how much longer we will have it, we got our first 3 star review! I was shocked!
The couple that stayed was an airbnber and had a superhost status, gosh, they found the bed uncomfortable, the soap in the bath tub was actually had soap, there were not enough towels, the list went on and on.
But to answer the question, it did take a few days since we got the e-mail, till the badge showed up by our picture, I don't know how much it will help, when you search our place the first thing that people see is me and I am not the SUPERHOST!!!