Improving Query Performance by Removing Hash Match Inner Join in SQL Server 2014

While trying to apply the contents of this question below to my own situation, I am a bit confused as how I could get rid of the operator Hash Match (Inner Join) if any way possible.

SQL Server query performance – removing need for Hash Match (Inner Join)

I noticed the cost of 10% and was wondering if I could reduce it.
See the query plan below.

This work comes from a query thad I had to tune today:

SELECT c.AccountCode, MIN(d.CustomerSID) 
FROM   Stage.Customer c 
INNER JOIN Dimensions.Customer d  ON c.Email = d.Email
                                  OR (
                                          c.HomePostCode = d.HomePostCode
                                       AND c.StrSurname = d.strSurname
                                                                    )
GROUP BY c.AccountCode

and after adding these indexes:

---------------------------------------------------------------------
-- Create the indexes
---------------------------------------------------------------------

CREATE NONCLUSTERED INDEX IDX_Stage_Customer_HOME_SURNAME_INCL
ON Stage.Customer(HomePostCode ,strSurname)
INCLUDE (AccountCode)
--WHERE HASEMAIL = 0
--WITH (ONLINE=ON, DROP_EXISTING = ON)
go


CREATE NONCLUSTERED INDEX IDX_Dimensions_Customer_HOME_SURNAME_INCL
ON Dimensions.Customer(HomePostCode ,strSurname)
INCLUDE (AccountCode,CustomerSID)
--WHERE HASEMAIL = 0
--WITH (ONLINE=ON, DROP_EXISTING = ON)
go



CREATE NONCLUSTERED INDEX IDX_Stage_Customer_EMAIL_INCL
ON Stage.Customer(EMAIL)
INCLUDE (AccountCode)
--WHERE HASEMAIL = 1
--WITH (ONLINE=ON, DROP_EXISTING = ON)
go


CREATE NONCLUSTERED INDEX IDX_Dimensions_Customer_EMAIL_INCL
ON Dimensions.Customer(EMAIL)
INCLUDE (AccountCode,CustomerSID)
--WHERE HASEMAIL = 1
--WITH (ONLINE=ON, DROP_EXISTING = ON)
go

this is the new query:

----------------------------------------------------------------------------
-- new query 
----------------------------------------------------------------------------

SELECT * 
FROM (    
SELECT AccountCode
     ,RO=ROW_NUMBER () OVER (PARTITION BY AccountCode ORDER BY CustomerSID)
     --,CustomerSID=MIN(CustomerSID) OVER (PARTITION BY AccountCode ORDER BY AccountCode)
       ,CustomerSID
FROM (    
          SELECT c.AccountCode, D.CustomerSID
       FROM   Stage.Customer c 
       INNER JOIN Dimensions.Customer d  ON c.Email = d.Email

          UNION ALL

          SELECT c.AccountCode, D.CustomerSID
       FROM   Stage.Customer c 
       INNER JOIN Dimensions.Customer d  ON c.HomePostCode = d.HomePostCode
                                        AND c.StrSurname = d.strSurname
) RADHE
) R1
WHERE RO = 1

This has reduced the query execution time from 8 minutes to 1 second.

Everybody is happy, but still I would like to know if I could get more done,
I.e. by somehow removing the hash match operator.

Why is it there at the first place, I am matching all the fields, why hash?