A UGA study at Kiawah Island, S.C. showed that not only were bobcats a major predator of whitetail fawns, but that they were actually keeping the deer population in check. From 2002 to 2003, the UGA study on Kiawah Island monitored 63 fawns. A whopping 81 percent of the fawns died, and bobcats killed half of them. The next-highest cause of fawn mortality at Kiawah Island was vehicles, which killed seven of the 63 fawns (11 percent).
Research conducted on the Welder Wildlife Foundation from 1993-1998 indicate deer were found in bobcat scat from May through August. Deer were found in 5%, 32%, 24%, and 4% of bobcat scat collected in May, June, July, and August, respectively (Blankenship 2000). This corresponds to the fawn drop on the Welder Wildlife Foundation. Data show the birth period begins in May with the majority born in June (Blankenship et al. 1994). Larger mammals such as javelina (Tayassu tajacu) and feral hog (Sus scrofa) were found in the bobcat diet but many of these were also young animals.
A study in Oklahoma monitored 35 radiocollared white-tailed deer fawns to determine causes of mortality. Twenty eight fawn mortalities were attributed to predation and 5 (15.2%) were identified as bobcat kills (Garner et al. 1976).
Don't take my word for it, just do a google search and read some studies.