You can check with Peloton support but I believe what they give you while you're waiting for delivery is the normal digital app subscription which is one profile only. They are doing a 2 month free trial so you could do a second subscription and cancel before you get billed or better yet just ask Peloton to give you a second for your wife while you wait.
The digital subscription used to allow for multiple profiles in the household but when they cut the price they limited it to one.
Congrats on your bike!