Hi there Ashley_J92,
Thank you for using the Apple Support Communities!
While we are not a 13.3-inch MacBook Air user, we can help provide you with information that can help address your question, since the Community has not yet responded to your post.
Check out this article: Photoshop system requirements, specifically under the macOS section. There you will see the recommended system requirements for Photoshop on macOS. Based on that it does say "2 GHz or faster processor with SSE 4.2 or later". While you may still be able to run Photoshop on your particular MacBook Air, you may experience slowness or lag.
Best regards.