Q: Why am I not receiving email for verifying my account?

Is your resume email address a valid address?

See: Manage your Apple ID primary, rescue, alternate, and notification email addresses - Apple Support

correction - I meant to write:

Is your resume rescue email address a valid address?

Manage your Apple ID primary, rescue, alternate, and notification email addresses - Apple Support

I sign in on appleid.apple.com and select manage apple id and sign in.  Everything is correct.  That address has been verified.

That is o.k., then.

However, on the left side of the screen the only option is verify your email address, nothing about security

I don't understand, what on the left side of the screen?  If you tried to verify a second email address, you should be either seeing "verified" or "verification email sent". The second email address may already have even verified for a different Apple ID.

Have you already looked at the link below?

If you didn't receive your verification or reset email - Apple Support