Order placed since 10th of OCT 2021 and still processing

Unless you have past the date range provided with your order (Such as Delivers November 4th - 10th), the order will stay in processing until the precise moment the phone is Preparing to Ship. The status won't change a moment earlier than that. And once it is Preparing to Ship, it will change to Shipped pretty quickly and you'll be provided tracking information to follow the phone before it gets delivered.

In that case, you are well within the time frame for an arrival on the Apple provided date. Please see the response from lobsterghost1 above for the procedure involved.

What was the arrival date provided by Apple when you placed the order?

Has that date passed?