According to Official Guinness Records,
The fastest indoor 60 m run by a female athlete is 6.92 seconds, achieved twice by Irina Privalova (Russia) at the José Maria Cagigal Memorial meeting in Madrid, Spain: on 11 February 1993 and 9 February 1995. In the course of the latter race, Privalova also set the world record for a women’s indoor 50 m – 5.96 seconds.
For a complete list of 1993 records, please visit 1993 Guinness Records in Spain.