Gautrat won the MAC Hermann Trophy in both 2013 and 2014, becoming the fourth women's player to win the award in consecutive years.

Born in St. Simons Island, Georgia to Vickie and Steve Brian, Morgan was raised with her older sister Jennifer.

"[6] Gautrat attended Frederica Academy in St. Simon's Island from 2007 to 2011, where she played soccer all four years and helped the team win four consecutive state titles.

[8] During her second year, Gautrat appeared in 15 games, starting 13, after missing the beginning of the season due to representing the United States at the 2012 FIFA U-20 Women's World Cup where she helped the US take home gold.

[12] On January 16, 2015, the Houston Dash selected Gautrat with the first overall pick in the 2015 NWSL College Draft for the 2015 season of the National Women's Soccer League.

[16] On January 13, 2016, Gautrat was on the official list of United States women's national team allocated players for the 2016, having been assigned to the Houston Dash along with Carli Lloyd.

[17] Gautrat made seven appearances for the Dash before joining the national team in preparation for the 2016 Summer Olympics in Rio de Janeiro.

Gautrat sat for the first few weeks due to a MCL injury that she sustained during her 66th appearance for the USWNT during the She Believes Cup against France in early March.

[18] In January 2018, Gautrat signed a deal to play in France for Olympique Lyonnais, while Chicago retained her NWSL rights.

[19] The Chicago Red Stars announced Gautrat's return to the team on June 19, 2018, as she signed a deal for the remainder of the 2018 season.

[23] On June 19, 2018, after having spending 5 months with Olympique Lyonnais Féminin, Gautrat made her return to the Chicago Red Stars.

Her goal occurred during the team's 4–0 semi-final victory over Mexico, which earned the squad its berth to the U-20 Women's World Cup.

[8] Gautrat would later help the team win the 2012 FIFA U-20 Women's World Cup in Japan; playing all six matches and scoring a goal.

"[30] Gautrat received her first senior national team call-up in June 2013, when she was named to a 23-player roster for a training camp and a two-game series against the Korea Republic.

Gautrat joined the national team for a training camp at the end of August in order to prepare for two matches against Mexico in September as well as the 2014 CONCACAF Women's Qualifying tournament in October.

[50] She also came in during the 67th minute of the semi-final match against Mexico on October 24, helping the United States win 3–0 and qualify for the 2015 FIFA Women's World Cup.

[57] Following the training camp, Gautrat was named to the 24-player team that would travel on a 13-day trip to Europe for matches against France and England in mid-February.

[62] She also started in the final match against France on March 11, helping the United States win their 10th Algarve Cup title.

[67] Gautrat joined the national team on a Victory Tour following their World Cup win that started in Pittsburgh on August 16 and ended in New Orleans on December 16.

[71] The United States qualified to the 2016 Olympic Games in Rio de Janeiro after a semi-final win against Trinidad and Tobago on February 19.

Following the tournament, Gautrat was named to the 2016 CONCACAF Women's Olympic Qualifying Best XI and also won the Golden Ball for best player.

[76] Gautrat played 90 minutes in the final against Germany on March 9, helping the United States win the 2016 SheBelieves Cup.

[81][82] On July 12, 2016, Gautrat was named to the 18-player team that would represent the United States at the 2016 Olympic Games in Rio de Janeiro.

[89] Gautrat would spend the rest of 2017 in and out of training camps due to nagging injuries and would sparingly find playing minutes as a late game sub.

[92] Gautrat's health woes would continue in the 2018 CONCACAF Women's Championship as she suffered a head injury against Jamaica and would be forced to leave the match.

[101][102][103] Gautrat made only one appearance at the 2019 FIFA Women's World Cup, where she featured in the team's second group stage match, vs Chile in Paris on June 16.

[105] Gautrat scored her 7th and 8th international goals in the months following the United States' 2019 FIFA Women's World Cup victory; in matches against Portugal on August 29, and Costa Rica on November 10.

[106][107] On January 17, 2020, Gautrat was not included in the United States final 20-player squad for the 2020 CONCACAF Women's Olympic Qualifying Championship that took place through February 9.

[112] Gautrat did not feature in the remainder of the tournament due to an injury, but took home the SheBelieves Cup trophy for the third time in her career following the team's 5–0 win over Iceland on February 23.

"[128] High school College Lyon Orlando Pride United States U20 United States Individual Gautrat was featured along with her national teammates in the EA Sports' FIFA video game series in FIFA 16, the first time women players were included in the game.