Oh, I see what's going on here. Get Khushrenada very close to his goal and then deny him while you go and play Monster Hunter 4 with Mop it up because it's the new hawtness. BETRAYAL!!!!!!!
So, when you cut me off, I had 13 visits left. Might have got it down to 10 if you hadn't left the Friend Communicator on. However, that should take less than an hour so if you do open your gates, you won't have to leave them open for long.