Klára Vondráčková arrived in this city on the Danube nine days ago with a suitcase, a ranking of 143 and a hotel booking for three nights. On Sunday afternoon she left with the trophy, a check for 142,000 euros and a projected ranking inside the top 70, after beating the second seed, Aruzhan Baitasova of Kazakhstan, 4-6, 6-3, 6-4 in the final of the Upper Austria Ladies.

The 19-year-old from Prostějov is the first qualifier to win the tournament in its 36-year history and the youngest champion since 2009. She did not drop a set in three qualifying matches and lost only two in the main draw, in the final and in a second-round win over the Romanian veteran Simona Dinescu.

“I booked three nights because I thought, qualifying, maybe first round, then home,” Ms. Vondráčková said, laughing, in a news conference where she switched between Czech, English and a cautious German. “Every two days I called the hotel. By Thursday the lady at reception said, ‘Just stay, we will work it out.’”

The match turned on the second set, when Ms. Baitasova, who had served at 68 percent in the first, dropped to 51 and was broken twice. Ms. Vondráčková, who hits a flat two-handed backhand that her coach calls “a wall with a temper,” won 14 of 17 points on that wing in the deciding set, including a backhand down the line on match point that drew a long sigh from the 3,800 people in the TipsArena before the applause.

Ms. Baitasova, 25, who is ranked 11th, was gracious. “She did not play like a qualifier. She played like someone who has decided something,” she said. “I had chances. She did not give me time to think about them.”

The Czech Republic has produced a remarkable line of women’s champions over the past 15 years, and the country’s federation runs a network of 22 regional training centers that funnel players toward Prague by 14. Ms. Vondráčková was a late developer; she was told at 15 that she was too small and did not reach a national junior final until 17. “I was always the one they forgot to put in the photo,” she said.

Her coach, Radek Horníček, 48, who has worked with her since she was 16 and who paid for her first three tour-level trips himself, said the plan now is to resist the sudden offers that come with a title. “Her phone has 300 messages,” he said. “Tomorrow we go home. Tuesday we practice. The messages can wait.”

She will move into the main draw of the tournament in Ostrava next week without qualifying, the first time in her career she has entered a tour event directly. Asked what she would do with the prize money, she thought for a moment. “A better suitcase,” she said. “And I will pay the hotel.”