Final answer:
Bessie Coleman faced racial discrimination and sexism in the aviation industry during the early 20th century, which hindered her pursuit of aviation. She overcame these obstacles by traveling to France to obtain her pilot's license, becoming the first African-American woman to do so.
Step-by-step explanation:
Bessie Coleman, the first African-American woman to hold a pilot's license, had to overcome various obstacles in her pursuit of aviation. However, one of the most difficult obstacles she had to overcome was racial discrimination and sexism in the aviation industry during the early 20th century. Coleman faced many barriers, including being denied entry to flight schools in the United States due to her race and gender. She was ultimately forced to travel to France to receive her pilot's license. This obstacle of systemic racism and sexism was a significant challenge for Coleman, but she persevered and became a trailblazer for future African-American aviators.