Apparent Firewall Problem

Hello, any help for this issue would be greately apperciated.

My account is locked into a custom game where I am the player in the game. I left the game and I would be given the option to recconect, however I could not change the screen. I logged out and back in to be given the same message, unable to do anything else other then to reconnect. I decided to then attempt to reconnect so I could fast push and win the game and leave.

However this is my problem; I click reconnect and and my screen goes black for about 30 seconds before displaying this message: " Unable to connect to server. If you have a firewall, it may be blocking the connection. Please refer to your firewall's documentation. Would you like to retry the connection?". I have checked my firewall and everything was working the previous game. I restarted the client, I kept clicking retry connection, I restarted my computer, I played with my Firewall settings and nothing.

It's been like this for a while and it is getting irritating. Is this mine or Riot's fault? Can Riot fix this? Anyone know any solutions? Do I have to wait for the game to end to be able to continue?