Learn Hardcore Spanish (Spain): La tutora quiere que sigamos practicando español cada día. - The advisor wants us to keep practicing Spanish every day.

tutora: usually the homeroom teacher, form tutor, or academic advisor for a class or group of students. She looks after the group, talks to parents, follows their progress, etc.
profesora: any female teacher in general.
maestra: more common for primary school teachers (and more frequent in Latin America than in Spain).

So la tutora suggests this is the teacher responsible for the group, not just any random teacher.

Why is it la tutora and not el tutor?

Spanish nouns referring to people usually mark grammatical gender:

The article (el / la) and the noun ending (-o / -a) agree in gender. The sentence implies that the tutor is a woman, so it uses la tutora.

If the tutor were a man, you’d say:

Why is it quiere que sigamos and not quiere que seguimos?