If you find a baby wild rabbit because your cat found it, take it to a rabbit-savvy vet or wildlife rehabber immediately. Cats have very lethal bacteria in their saliva and can easily be fatal for a rabbit in 48 hours. There is a 90% mortality rate with orphaned baby rabbits in human care, especially cottontails.
Honey actually stabilizes blood sugar and lowers HbA1c levels, something refined sugar and high fructose corn syrup (HFCS) cannot do. After ingestion, honey is converted directly into liver glycogen and does not result in the formation of triglycerides (fatty acids) as typically occurs after the consumption of large amounts of HFCS and sucrose found in the average American diet.
Many people reach for sugar and honey out of habit. We get used to the taste in our beverages and food, and miss that jolt of sweet when we forgo them. Rather than eliminating either one completely, it may help to reduce your intake. Try using half a teaspoon of honey in tea or half a packet of sugar in coffee, instead of a full serving. You can try the same trick with breakfast cereal and yogurt. If you use sugar when baking, reducing the amount by one-third may have less impact on taste than you might expect.