No - there is nothing wrong with your false bottom, don't worry.
You will want to check to see if the silicone gasket (black) was fitted up properly to the false bottom and/or whether it slipped off when you put the false bottom into the mash tun. Spray a little sanitizer around the edges and it goes in easier.
If the particles you are seeing are really small, but larger than "dust" - it would imply the grain bed didn't get set properly. Most brewers have seen clear wort after just a few quarts of vorlaufing. But depending on your mill settings - could be more or less than that.
One key point is to drain the liquid down to have between 1/2" to 1" of liquid above the grain bed. The bed will compress, as you start pulling the liquid off. You should be able to see the liquid level, once you hit the 1/2"-1" you can pour the wort back over the top of the grain bed until it flows clear.
If you have too much liquid in the Tun, the bed will never "compress" or set up properly. This compression or "set" grain bed is what provides the filtering.
It also could be that you just didn't have much / enough grain in your grist. A really thin layer of grain will never set very well and will pass more grain through under the false bottom. That's simply because there's not enough thickness to create a good filter.
The last factor would be related to mill settings. If the material was really powder like, it would imply your mill was set too fine and your percent of flour was disproportional to the larger materials. In this case, if the bed is set it would normally clear up, but you should take a close look at your mill setting.