A lot depends on how long the package has been "together". Don't count on acceptance but, in many cases, they queen HAS been accepted by the time you get around to hiving them. That's why many beeks direct release the queen...especially keepers that hive a bunch of packages. In some cases, the lack of acceptance reflects a problem with the queen that won't be resolved simply by giving her more time in the cage.
One more thing. From time to time, you'll get packages that have a queen somewhere in the mix. The shippers didn't know it and you'll get a package with a nice, caged, marked queen and an unseen, unmarked queen loose in the box. If you lose a new queen but your colony seems "happy", be looking for another one....or eggs....!
"My wife always wanted girls. Just not thousands and thousands of them......"