Usually a couple of days, but it may be a little longer during the festive season.

Festive season = the week between Christmas and new year's eve

To complete what Ozotuh said, Kirkq is the one who mainly treats game requests, and he usually does that once a week or something. However, he's currently not available for the next days because of the forementioned festive season so you might have to wait a bit longer.

For future reference, making a forum post about a game request you already submitted is a terrible idea. There is absolutely no need to remind us that game requests are a thing, they are handled as soon as reasonably possible. Posting will only result in us having to spend time reading/responding to your post which could have been much better spent going through the game requests.