The Russian woman lost to the Australian Ayla Tomlyanovich with a score of 4:6, 6:2, 6:7 (3:7).
The game lasted 2 hours and 21 minutes.
Kudermetova made ten aces and made five double faults.
The Australian filed five times right through and converted five out of six break points.
In the next round, Tomljanovich will play with Iga Swiatek (Poland).
Earlier, Karatsev lost to Cressy at the start of the Masters tennis tournament in Montreal.