Did Draco Marry a Muggle?

Malfoy married pureblood Astoria Greengrass, who did not raise their son to believe Muggles or others were less than purebloods.

Who was Draco supposed to marry?

Draco married the younger sister of a fellow Slytherin. Astoria Greengrass, who had gone through a similar (though less violent and frightening) conversion from pure-blood ideals to a more tolerant life view, was felt by Narcissa and Lucius to be something of a disappointment as a daughter-in-law.

Why did Draco Malfoy marry Astoria?

In fact, the show puts forward Draco married Astoria as an act of rebellion because she was anti-blood purity and morally opposed to everything Voldemort had stood for. But it's interesting the rumors tie Astoria back to Voldemort as somehow being his lover.