Sophia Popov, Ranked 304th, Wins Women’s British Open

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TROON, Scotland — Sophia Popov marked her ball a few inches from the hole on the 18th green, pulled the brim of her cap over her face and began to cry in the arms of her caddie.

The realization had finally hit her. Against all odds, she was about to become a major champion.

Moments later and still wiping away tears, she tapped in the putt to complete a two-stroke victory at Royal Troon and another fairy-tale story at the Women’s British Open.

Ranked No. 304, Popov had never won a senior professional event. She lost her card on the L.P.G.A. Tour at the end of last year and only qualified for the British Open with a top-10 finish two weeks ago at the…