Anosike helped guide the Lady Vols to consecutive NCAA championships in 2007 and 2008.
The award honors student athletes who have completed their college eligibility, demonstrated academic and athletic excellence and engaged in community service and leadership opportunities.
"She is one of the hardest working student athletes I have encountered in my 35 years of coaching," said Tennessee coach Pat Summitt, who along with Anosike's mother accepted the award on her behalf.
Anosike was drafted by the WNBA Minnesota Lynx and averaged 9.2 points and 6.8 rebounds while playing in all 34 games this season. She is currently playing basketball in Israel during the WNBA's offseason.
"This is probably the best award I've ever won, because it means I'm well-rounded," Anosike said in a taped interview. "It's a testament to my life and to my mom. She's the reason I'm here."
She is the third winner from Tennessee, joining diver Lauryn McCalley (2005) and swimmer/diver Catherine Byrne (1992).