I'm not sure if it works the same way in this situation, but normally you can banish a dweller by sending them outside and then tapping on the outside of the Vault door. Maybe if you click on a dweller who is standing outside and then tap the door? I was kind of late to start Fallout Shelter (just started a few weeks ago), so this isn't a situation I've encountered yet.
If you can't banish the ones that haven't come in yet, you might be able to replace some of your current dwellers with the new ones. Send a dweller out and tap on the door to banish them, then bring a new one in. Repeat until the line is cleared out. That's not really an ideal solution though.
You can't banish dwellers who are still outside the vault, if Bethesda added the banish button to dwellers who are still outside would be a nice addition to game.
Imagine a dweller getting to finally find a vault, and before even getting inside, they realize they have not been invited to the party! That can't be more sweet than drinking a bottle of Nuka Quantum!
This is why I never have more than 199 dwellers in my vault.
I like to banish mine (the ones with low happiness level). The comments when they're exiting the vault door are hilarious. =D
I stayed at 198 dwellers specifically so I could toss people as they popped out of lunchboxes, and come for radio calls (I like the Deathclaw tasks). Somehow I lost one of my level 50 full SPECIAL people (which is my entire vault) so now I'm at 197.
I'd previously requested a decline button for new arrivals - but people seemed to think I was a bit crazy - I have 200 fully trained dwellers in my vaults - it's a pain to have to go thru the whole eviction process just to add a useless pleb - so I've come to keep one useless pleb for the sole purpose of switching out when I get people from lunchboxes. This little switch out usually means that I've got to open the vault an additional time since one of them always wants to lag either going out or coming in - which means I'm inviting death claws with every switch out. It would also be nice if you could stop the radio station from broadcasting to the wasteland but keep going in the vault to keep your dwellers happy.
I've yet to see any real purpose behind the happiness level besides the miniscule daily status caps reward. So I got rid of my radio station long ago.
I'm a little confused about happiness on the whole, though. Before 1.4 hit, I would switch my happiness pets around every 24 hours and the 100% happiness would stick to each dweller. I got my entire 199 dweller vault to 96%.
Happiness from pets isn't sticky anymore, though. But the weirdest part is that my vault has stuck as a whole to that 96%, even though none of my dwellers have gone anywhere but down.
I think happiness is broken. But it doesn't matter, because it's pretty pointless anyway.