Your Apple Account password is not tied to any subscription whatsoever, so not entirely sure what is actually asking you to subscribe.
Resetting the Apple Account password, also does not have any effect on cancelled or inactive subscriptions.
If you have an a subscription that could not be charged, changing your password will not affect this.
The subscription and charge will remain pending until such time as you complete the payment, but your actual Apple Account's password has no ties to this in any way.
You can use your account and log in with it anywhere an Apple Account is used, you just can't make purchases or download apps, even free ones, if you have a pending charge. Resetting your Apple Account password does not affect this.