Apple account mismatch with different email addresses on new iPhone

somehow my apple account recognizes as username/adress 2 different email addresses (hotmail and icloud) with my icloud address I can access my apple account , but the password is not the same as the one for the hotmail. The hotmail usernames is linked to all my purchases and subscriptions. I have now a new phone but because I do not have my password for hotmail username (can also no reset it) I can not access any of my purchases in the new device

[Re-Titled by Moderator]