There are 2 places that we need to adjust to set up our email correctly in Shopify.

First, we need to set the email that Shopify uses as the sender email. This is the email your customers will see when they receive any notifications from your store, e.g., order confirmations.

As you can see from the screenshot below, on the global store settings, under Notifications, you can add your store's email address.

However, to make it work, you also need to authenticate your domain by clicking on the link shown in the screenshot. For more information about this process, please follow up with the official documentation

On the other hand, the email address that you need to set for you to receive emails regarding your store, e.g, emails regarding the contact us form, you need to set it on the General settings, as seen in the screenshot below