The only way to guarantee your cat's safety is to keep it indoors. Roaming house cats are not only a danger to small species of wildlife and various reptiles and amphibians, but they also could attract coyotes into your yard. Coyotes can view outdoor cats and small unleashed dogs as prey.
If you are aware of coyotes in your area, be sure to keep your dog leashed on walks. Also, you can reduce the risk of conflict if you:
Supervise your dog at all times, especially near wooded areas or parks.
Use caution when walking in heavily wooded or brushy areas.
Keep your dog in front of you. If your dog stops, keep an eye on it.