Use does only when the subject is he, she, or it: Does she work here? With I, you, we, they, use do: Do you know the answer?
Does she work here? is right, Does she works here? is wrong. After does, the main verb loses its -s, as negatives confirm: He doesn't watch TV.
Quick check: choose do or does to finish ___ your neighbours have a car? If you picked do, that's right, because they takes do. If you picked does, remember it fits only he, she or it. Then read on for the rule in real situations.
You're asking about her routine. Since the subject is she, use does: Does she drink coffee in the morning? The same choice covers negatives about him or it: He doesn't watch TV on weekdays.
Singular they takes do too, just like plural they: Do they know yet? works whether they means one person or more. Does is never an option with they, even for a single person whose name you're avoiding.
Now flip it to yourself or a group. With I, you, we or they, use do: Do you live near the station? and We don't work Saturdays.
Watch the contrast in one exchange. You'd ask, Does your brother play tennis? but answer, Yes, he does, and I play too. The subject changes from he to I, so the auxiliary changes with it, even inside the same conversation.
One trap to avoid once you've picked does: the main verb drops its -s, because does already marks third person singular. So Does she work here? is right, and Does she works here? is wrong. The negatives confirm it: He doesn't watch TV, never He doesn't watches TV.