Indexes involved in intervals collision detection
This is exactly the kind of query that can benefit from a composite, or multiple-column index: when a single statement filters by multiple columns in the same table. The order of columns in the index will depend on your use cases, but in general the order in which the columns appear in the DML statement is fine, in your case (assuming MySQL but the concept is the same for most RDBMSs):

ALTER TABLE 'venue'
ADD INDEX ('startdate','enddate')


See the documentation for other alternatives, such as adding a column containing the hash of multiple columns.