No need to worry. Indicating you're a student only allows TurboTax to populate the proper screens for you.
On the detailed tax summary, your previously unused tuition amounts are listed as just "tuition" (no additional info clarifying these were unused amounts). If you would like some reassurance that you properly listed the amounts as unused, have a look at the PDF copy of your return - specifically the Schedule 11. Line 1 lists the amount of unused tuition/education/textbook amounts you've carried forward. You can view/print a PDF copy of your return by selecting the "Print my Return" option (File tab)