You should be fine. The first stage of fermentation is aerobic, meaning the yeast will use up any oxygen in the wort (including any that it absorbs from the dead space above the wort). Oxygen won't hurt your wort at this point, it is actually beneficial. Once the anaerobic phase kicks in, the yeast will start pumping out CO2, which will push the rest of the air out of the bucket through your airlock - you are using an airlock, right? At that point, you will have a nice cushion of protective CO2 to keep unwanted oxygen away from your beer.