AUSTIN (CBSDFW.COM/AP) — It was a fierce battle against longtime state Senator Royce West, but Texas’ MJ Hegar won the Democratic nomination for U.S. Senate in a primary runoff Tuesday.

The race had been postponed months over fears of the coronavirus, only to be held as the outbreak is worse than ever. Texans headed to the polls on a day in which the state set a record for new coronavirus cases and reported 87 new deaths. Some counties cut back on polling places as virus fears created a shortage of election workers, although reports of long lines were sparse even as turnout was higher than a typical primary runoff.

Hegar’s victory is a win for national Democratic groups that backed her campaign — as did former presidential candidates Pete Buttigieg and Sen. Elizabeth Warren — believing the former Air Force helicopter pilot has a centrist appeal that gives the party the best shot at an upset in America’s biggest red state.

(CBS 11)

But it was far from a resounding victory over Sen. West, who would have been Texas’ first Black Senator if elected in November. The close margin reflected divisions among Democratic voters two years after former congressman Beto O’Rourke revived the party’s long-dormant hopes in Texas by nearly ousting Republican Sen. Ted Cruz. By late Tuesday, Hegar had more than 52 percent of the vote.

She will be an underdog against Republican Sen. John Cornyn, and Democrats nationally do not view the race as competitive as their chances of flipping Senate seats in Arizona, Colorado and Maine.

Hegar said, however, that it’s a race she can win. “The grassroots energy that has jelled behind this campaign, and my ability to connect with people because I am a regular working Texas mom has really pushed us to this point.”

Democrats hope that Trump’s sagging poll numbers will be a burden for the GOP ticket.

Wearing masks and trying to keep their distance, voters headed out to polls in blazing 100-degree afternoon heat and at a moment when Republican Gov. Greg Abbott is urging the public to stay home as Texas struggles to contain one of the worst coronavirus outbreaks in the country.

Abbott, who has warned that the infection numbers will likely get even worse, did not include polling places under a recent statewide mask order, and unlike many states, Texas has fought efforts to expand mail-in balloting during the pandemic. On Tuesday, Texas reported a record 10,745 confirmed new cases in a single day, and the rate of positive cases also climbed to nearly 17% — also a new high.

Runoff elections in Texas typically have low turnout, and by Tuesday afternoon, elections officials reported few cases of long lines in the state’s largest counties.

Former Republican U.S. Rep. Pete Sessions, who was ousted from his longtime Dallas district in 2018, won the GOP nomination for a rural seat in Waco even though the retiring incumbent, Rep. Bill Flores, criticized his former colleague for switching to a more friendly district.

Fears over the coronavirus kept some poll workers home, forcing San Antonio to open fewer polling places than originally planned. “This is a particularly challenging Election Day,” said Bexar County Elections Administrator Jacque Callanen said.

More than 1 million ballots were cast in early voting — higher than most primary runoffs in recent years but only a fraction of the state’s 16 million registered voters.

The runoff was originally scheduled for May. But like many governors, Abbott in March pushed back the date as the virus began to take hold across the country.

(© Copyright 2020 CBS Broadcasting Inc. All Rights Reserved. The Associated Press contributed to this report.)