I dated a woman for 9 years who has a Masters degree and who certainly can code. She just finds coding to be tedious and could never imagine doing that as a job. My wife has a PhD, an MBA, and is working on another higher degree. She can also code, but she also finds coding to be tedious and tells me she feels sorry for me in my coding job, because she can't imagine how I could feel otherwise.

One of my female Computer Science professors used to brag about how she didn't code.