In most countries this would be grounds for termination. If you had showered when you got home from wherever you drank you should not have had much to sweat out the next day even if you drank enough to risk blood poisoning.
I would feel differently about it had you notified the employer that you were going to be late and showered off then shown up to work.
I would feel differently about it had you notified the employer that you were going to be late and showered off then shown up to work.