If you find the perfect tutor for you, you can make sure he/she will always show up at the page top. To do so, you will have to "follow" the tutor by clicking on the heart at the upper-right hand corner of the tutor card. You can also switch on the "follow the tutor" option from the tutor profile.
If you follow a tutor, you can also switch another option: every time a student cancels a session and a slot frees up, you will receive a notification.
From your homepage you can see the number of tutors you're following.
You can see all of the tutors you follow from your homepage.