Welcome to the Atlassian Community! (Sort of, as it's a new account and you have an old one)
There is no "community account". Community uses Atlassian accounts as the user directory, so when you say "I am not talking about the Atlassian account", I'm afraid you are wrong, because you are.
You have two Atlassian accounts, with different email addresses. To delete one of them, log in with it into id.atlassian.com and work your way through the preferences to find the "delete" option (last time I looked, it was under a security setting)
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