One option would be to create a calculated field similar to the following:
datepart("month", [Order Date])=datepart('month', today()) and datepart("year", [Order Date])=datepart('year', today())
Then, place it on the filter shelf and select True. Then, show your quick filter for the Month Year of your date field and select Only Relevant Values.
Another option would be to use a Relative Date filter and select to show This Month.
Hope this helps!