some prefer display set to none, you can do that too, but ensure to have padding top on the title so it will still look good.
You will notice that you can just target element span.post_meta_item.post_date but if you want to be specific with just all EE, then target .espresso_event_type-single-event which is the parent element of that span. and only shows up for EE page.
Then paste the code to your theme, by going to WP Dashboard -> appearance -> customize -> additional css