I’m very sorry to hear about that. Based on your description of the issue, this seems like a problem with your connection to our servers. While there are several potential causes for this, typically these connection issues are caused by overzealous firewalls or anti-virus programs. Even if you have no active firewalls that you know of, many firewalls are installed automatically with Windows, so you may have as many as 3 and not even know it. Additionally, many Firewalls have processes that run in the background after disabling them, which still cause significant interference with our game.
We have a detailed guide to configuring your Firewalls to work properly with League of Legends:
Unfortunately, even when properly configured by you, the disabled modes or exceptions lists often do not function properly for third-party firewalls. It would be much quicker to temporarily uninstall your firewalls from your computer. This would allow me to quickly rule them out as a potential cause of the problem so I can get you back into the game faster.
If you're uncomfortable uninstalling your anti-virus and firewalls, I recommend replacing your current software with Avast, which is free for home use. It even has a disabled/gaming mode for getting the most out of your system while playing League of Legends.
If the problem persists or if I need to clarify something, please don't hesitate to contact me. When you do, providing this information to me will allow me to help get you back into the Fields of Justice as quickly as possible. (Make sure to provide this information even if you have already done so. We need to get information that is as up to date as possible):
1) A Process List: http://support.leagueoflegends.com/entries/20132988-obtaining-a-process-list
2) Network Analysis: http://support.leagueoflegends.com/entries/20103436-obtaining-a-network-analysis
3) NetworkInfo Log: http://support.leagueoflegends.com/entries/20132863-obtaining-a-networkinfo-log
Player Support Specialist