Kerber, ranked sixth in the world, broke Kudryavtseva 10 times, but dropped her own serve eight times to allow her Russian opponent to stay in the match.
Leander Paes and his partner Elena Vesnina stormed into the semifinals of mixed doubles competition after a straight set win over Paul Hanley and Alla Kudryavtseva in the Wimbledon here.
Defending champion Alla Kudryavtseva advanced to the second round of the Tashkent Open, beating fellow Russian Vesna Dolonts 6-2, 7-5 on Tuesday.
China's French Open champion Li Na reached the second round at Wimbledon on Tuesday with a comfortable 6-3, 6-3 win over Russia's Alla Kudryavtseva.
Alla Kudryavtseva of Russia eliminated sixth-seeded Jill Craybas 7-5, 6-2 in the second round of the Bell Challenge on Wednesday.