The transfer of data from my old iphone7 to my new iphone13 mini is taking too long ??

Use a method other than Quick Start.

Transfer data from your previous iOS or iPadOS device to your new iPhone or iPad - Apple Support

Yes, I'm using Quick Start to move from 8 to 12 mini. During set up, it hangs on the software update (to iOS 16). Downloads ok, then stops at "preparing to update". I'll try again using restore from mac instead.

How long is too long?

Data is only going to transfer at the speed of the Wi-Fi signal on your network.

Have you run any checks to see what that speed might be?

Are you trying to use Quick Start?