Do a total investigation as to the extent of water damage - if you have dry wall up you don't know if they are "dry" as the damage could be going on behind the wall - if dry wall runs to floor in that area - i would consider cutting some away to determine if in fact the dry wall is wet. Dry wall will wick water into it... additionally it is a perfect setting for mold growth - mold actually thrives on the paper in drywall not the gypsum

Good that you did initial abatement - run dehumidifier if you have one. get on hands & knees and crawl to see if any other corners are affected - if the rug is past it's normal expected life span I would toss it... I'd rather not be worrying that I salvaged and saved a little $ with a rug growing mold - Is there a pad under the rug?

next would be to investigate where the water is originating - Is there a downspout/leader in that location? is it away from foundation/clogged?

Many basement water issues are 2ndary to simple fixes on the outside - Proper gutters w/proper pitch, leaders far away from foundation as possible, pitch of soil near foundation should slope away from foundation, Large plantings close to foundations will attract water...

Good luck