Assuming that in Graeme's case the column DateAppRcvd is NULL, this should help:
SELECT
COUNT(pm.DateAppRcvd) AS [DateAppRcvd],
u.FullName AS [Advisor]
FROM
tbl_Profile_Mortgage AS pm
INNER JOIN tbl_Profile AS p ON pm.FK_ProfileId = p.Id
INNER JOIN tbl_User u ON p.Advisor = u.UserId
WHERE
(
DateAppRcvd Between '01-Nov-2013 00:00:00.000' AND '30-Nov-2013 23:59:00.000'
OR
DateAppRcvd IS NULL
)
AND pm.AccelInd '1'
and u.FullName in ('Colin Sneddon ','Graeme Hastie','Jonathon Bede Pratt','Mark Reidy','Neil Jones','Nigel Crook','Sharon Parouty','Tom McSherry')
GROUP BY u.FullName