The physical does not get sent unless you specifically request it.
How to request or replace a titanium Apple Card - Apple Support
The entire purpose of the Apple Card is to be completely digital within the Wallet App. If the user wants a physical card they have to request it. It does not get sent automatically.
If you don’t have an iPhone you should probably consider canceling the Apple Card as it will be of limited use without an iPhone. Your transactions can only be viewed on the iPhone. Your monthly statements come via iPhone. You make payments on the iPhone. There is a very, very basic website for the Apple Card that is not at all like a typical credit card website. On the website you can download a statement or make a payment, that’s all.
The physical card also does not have any account information on it. No account number, no expiration date, no CCV security code, nothing except your name. You get that information on your iPhone.