The British No 2 showed no signs of nerves in her first WTA Tour semi-final in more than a year, winning 6-1 6-4 in one hour and 14 minutes.
Having also pulled off fine victories over second seed Wang Qiang and Magda Linette in this tournament, Watson will now face Rebecca Peterson in the final after the Swede beat Ons Jabeur.
The 27-year-old, who will return to the top 100 next week, needed just over three hours to get past Linette in the last eight on Friday.
But there was no fatigue on show as she raced through the first set in just 25 minutes, breaking twice as Kudermetova struggled with her serve.
Watson moved 4-2 ahead in the second set and, despite seeing two match points go begging, she got the job done to reach her fourth career WTA final.