I would suggest to restrict your query to only find those 2 values.
Select distinct
Case when P.Dept_Value = 'Accounting' Then 'AccountingPerson'
When P.Dept_Value = 'ITServices' Then 'ITPerson'
End Type
From PesonDept P
WHERE P.Dept_Value IN( 'Accounting', 'ITServices')
You're getting nulls because you don't have an ELSE on your CASE.