Hourly Email Limits

Can anyone clarify how the package 'Hourly Email Limits' works in practice.

I have written a one-off script for a client that will send out a batch of emails that will slightly exceed the hourly limit. Will the excess emails be delayed and sent later (which would be OK), or do the excess emails get deleted and not sent (not OK)?

I know I could set the script up to send the emails out in two separate batches, but I think it would be useful to know the answer to my question in case a similar scenario comes up in the future.

Any insights would be much appreciated.

The excess emails will NOT be deleted by the server but be delayed and sent later.