"I was in control of most of the frames," Evans, who made the only three 50 breaks of the match, told the BBC. "I think I should have won every frame in the second session. I think if I'd have pulled one more back, I'd have been the favourite."
The 31-year-old Briton, an 11-times women's world champion, won her first ever qualifier against the men when she beat Finland's Robin Hull 10-8 last Wednesday.
"The buzz off winning (the first qualifying round) was immense and I couldn't wait to play again. Maybe if it was a day later, I'd have been more on the ball. I still felt really good out there," Evans added.
Evans will not be eligible for entry into next year's tournament unless she receives a wild card entry as Hong Kong's Ng On Yee won the World Women's Championship in Singapore last month to earn a first qualifying round berth for 2018.
Welshman Walker advances to face Thailand's Noppon Saengkham in a best-of-19 encounter. Briton Mark Selby is the reigning world champion and will begin the defence of his title at the 32-player finals starting on April 15.
(Reporting by Shravanth Vijayakumar in Bengaluru; Editing by John O'Brien)
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