At Arch, when you create an account through an email, you are actually creating a Magic Wallet associated with that email. With the creation of this wallet, you get a unique set of words that let's you recover that wallet no matter the problem.
Save that code.
As long as you have that code, you will have access to that particular wallet and the assets that you manage in it, so don't worry, loosing your email is a bummer, but at least your assets are completely safe 🤩
Create a wallet
If you are specially worried about this, you may as well create your own self custody wallet 😎 for this, you can follow this tutorial and make the process as easy as it can be.