Hi @ClareODwyer ...
Is your recording displayed in your Studio library (the first screen you see when you click on the "Studio" button on the left-hand global navigation menu)? If so, then you can embed that video into any course you want so that your students can view that recording. There's a lot of information in this Guide, but it should take you step-by-step through how you can place the video anywhere you want on a content page of your course:
How do I embed Canvas Studio media in a Canvas cou... - Instructure Community - 1699 (canvaslms.com)
If you have other questions about this, just ask. Good luck, and hope this helps!