Many thanks for both suggestions, as well. I, too, found Rajat's easier to understand and it worked correctly as:

DELETE a

FROM "dbo"."DM_ConformedPerson" a

JOIN "dbo"."TST_Fix_DM_ConformedPerson" z

ON a."Person_SK" = z."Person_SK"

WHERE z."Person_SK" z."MaxSK"

Because of this solution, I have now joined this web site to hopefully easily find solutions such as this in the future.