Getting into such a group is not that hard. You need to have an approved bio and you need to send the request to the village that you want to join. It sometimes takes time because the village members might be discussing if they should let you in or rather because the kage is inactive. (Some villages require you to have some battles, but I don't know about that anymore, I think that there is no longer such a thing and you can easily join any village with an approved bio)
Just be patient mate, it indeed sometimes takes time but at the end I'm sure you will get in a village.
If you don't know how to make a bio, make sure to read this
. Also be sure to read the Joining Rules
, they are also important.