You will need to join the tables together and get a list of unique competitors that don't already exist in Competitors
.
This will insert unique records.
INSERT Competitors (cName)
SELECT DISTINCT Name
FROM CompResults cr LEFT JOIN Competitors c ON cr.Name = c.cName
WHERE c.Name IS NULL
There may come a time when this insert needs to be done quickly without being able to wait for the selection of unique names. In that case, you could insert the unique names into a temporary table, and then use that temporary table to insert into your real table. This works well because all the processing happens at the time you are inserting into a temporary table, so it doesn't affect your real table. Then when you have all the processing finished, you do a quick insert into the real table. I might even wrap the last part, where you insert into the real table, inside a transaction.