Logistic regression "outcome does not vary"

Hello,

I know which variable is giving me problems, but I don't know how to solve it. I'm studying the likelihood of people going to the doctor when they are sick. One of my dependent variables is "reason for not going to the doctor" which is a question asked only to the people who chose not to go to the doctor, obviously. Since in this variable I only have values for the people who didn't go, the logit model won't work. Any ideas on how to solve it?

Thank you in advance.