Based on your description, it stands to reason that there are multiple created_datetime values for some of the subscriber_msisdn values which is what prompted you to use the distinct in the subquery to begin with. By joining the sub query to the original table you are defeating this. A cleaner way to write the query would be:
SELECT
war.subscriber_msisdn
, war.created_datetime
FROM
wiz_application_response war
LEFT JOIN wiz_application_item wai
ON war.application_item_id = wai.id
AND wai.application_id = 155
WHERE
war.created_datetime BETWEEN '2012-10-07 00:00' AND '2012-11-15 00:00:54'
This should return only the rows from the war table that satisfy the criteria based on the wai table. It should not be and outer join unless you wanted to return all the rows from war table that satisfied the created_datetime parameter regardless of the application_item_id parameter.
This is my best guess based on the limited information I have about your tables and what I’m assuming you’re trying to accomplish. If this doesn’t get you what you are after, I will continue to offer other ideas based on additional information you could provide. Hope this works.