Please follow this plant link, Calyptocarpus vialis (Straggler daisy), to our webpage on it, where you will learn it is a fast-growing, nice low ground groundcover that can tolerate moderate foot traffic. It is native to Travis County, according to this USDA Plant Profile Map, so that means it should not use too many resources, like water, and certainly not fertilizer. What you will not learn is whether or not it is deer resistant, because we don't know. We have a deer-resistant species list, and you should read this statement:
Few plants are completely deer resistant. Several factors influence deer browsing including the density of the deer population, environmental conditions such as drought, and plant palatability. Deer tend to avoid plants with aromatic foliage, tough leathery and/or hairy or prickly leaves or plants with milky latex or sap. Try using some of the plants listed here to minimize deer damage to your landscape."
However, this is a very sturdy plant, easily spread to the point that many gardeners consider it a weed. We could hope that either it will be so low that the deer won't eat it, or they won't be able to eat it faster than it can spread. Even so, they will be eating something that you didn't have to spend a lot of money on, or a lot of time caring for it. We would think it would be worth a try, at least distracting the deer from plants that are more valuable to you.