If you are being told your password has been changed, I hope you haven't been hacked. Do you only access your Gmail on your smartphone, or can you access it from a PC or another device.
Were you given the opportunity to reset your password? (This only works if you have already supplied an alternative email address and/or smartphone number.) Once you delete your account, you lose all access to the emails attached to that account.
Given that email security is increasingly important, a second email address with a different provider isn't a bad thing either. Gmail ask for a 'rescue address' so that they can send a link to your second email address for a password reset.
I use two email providers, one for my important mails, one for subscriptions and purchases. I tend to just delete the emails in the second 'updates' email address but it keeps it alive.
I have been asked for help by so many people who have forgotten passwords or were just not sure which password was needed. Even fingerprint and face recognition technology can fail and you may still need to use a password. One tip I have for 'remembering' passwords is to look round your house and see if there is anything in plain sight such as some small writing on a wall poster, an extract from a recipe -something that is complex enough but familiar to you, or simply use a password manager.