How long a beer can sit without being pitched depends on how good your sanitation was. We do not brew in perfect sanitary conditions. There is always a little bit of unfriendly bacterias and wild yeasts that find their way into our wort. We offset them by pitching a large healthy yeast colony that out competes them for food. Letting a wort sit unpitched is always a bit risky and you really shouldn't wait if you don't have to. Once you've gone more than 12 hours you are entering a dangerous area. Could be fine, could start fermenting on it's own.
Adding nutrient to your wort is almost always a good idea as it gives the yeast a solid food base and nutrients on the front end. However, adding nutrient after the wort has been sitting several hours unpitched is not a good idea. Bacteria reproduce at a faster rate then yeast do, and if you have a growing colony of nasties in there, the nutrient may help them to out compete the yeast if they already have a foothold.
I think your best bet is to pitch the yeast/yeast starter that you already have, and get another vial today if possible, and pitch that as well.