If you saved the '2FA Secret Key' when you setup 2FA (as it tells you to do) then you can manually use that to setup 2FA on a device.
If you supplied a '2FA recovery phrase' when you setup 2FA, then the password reset will allow you to use that phrase to remove 2FA.
If not, then no, there's no other way to access a 2FA account without 2FA.
Yes it is secure, no it will not allow someone else to access your account without one of the above.

As suggested by Fuzzy above, if you can't get back into your account, create a new one.