You'll need to be aware of getting mold. Water trapped in walls and between floors will eventually facilitate mold growth... especially this time of year. You really need to expose all areas affected by the leak, treat any mold-like staining or growth with a biocide (in some cases replacing building materials is necessary) and dehumidify the hell out of the whole area.
I'm working on a case now that started as a simple refrigerator ice-line leak and went on for a couple months unknown. We had to call in an abatement company to tear out drywall, kitchen cabinets, flooring, and insulation, then treat the framing with biocide and dry it out before putting it back together. Homeowner's insurance covered it (or at least most of it).
The sooner you take care of this, the less it will cost. PM me if you need more info.