You'll be fine. If you can handle minor toe strikes without fenders you will probably be fine with them. Brief contact between the fender and your tire is not likely to stop the wheel dead, which is why I suggest improving your low-speed cornering rather than forgoing fenders. Sometimes it is necessary to partially turn, straighten the wheel as your outside foot reaches the foremost part of the crank revolution, then complete the turn. I often find I have to do this to avoid toe strikes when biking up handicap access ramps and other ped features with low-radius turns. Just part of riding fixed gear.