Использовать оконную функцию row-number ()
select * from
(select client, clientID, enrollmentdate, enrollmentID ,servicedate,serviceID,servicetype,row_number() over(order by enrollmentdate) rownum
from tablename where servicetype='orientation')a where rownum=1
ИЛИ вы можете использовать коррелированный подзапрос
select * from tablename t1 where enrollmentdate in (select min(enrollmentdate) from tablename t2)
where servicetype='orientation'