Good advice from Carmella, but be aware that you are not guaranteed to find any useful traceable matches with a YDNA test.
There may be various Wynnes with different origins, or you may match somewhere back in time prior to the use of surnames, so you may not find that specific 1751 missing Wynne link.
You are almost guaranteed to get reasonably close matches with an autosomal test. Whether you will be able to find how you connect with them or if they came from your Wynne lineage is another matter. Checking the female lines can be very useful in autosomal tests (they marry and change their surname so won’t be Wynne). Ideally you should be looking to test 111 markers or the Big Y test.
If finances permit, you may benefit from taking all tests. If you take an FTDNA YDnA test first, you can later upgrade to an autosomal (family finder) test using the same sample. You can upload the raw data from your FTDNA test results to a couple of other companies such as My Heritage (which requires payment of an ‘unlock’ fee), but You can’t upload to Ancestry. They like you to pay up in full to take their test. And they like you to take out an annual subscription to make the best use of your results.

This has probably all been covered in Carmella’s links.
As an example, my husband tested 67 markers quite a few years ago. His surname is Wright. He got something like 6 matches overall, (on all levels) and none of them have the same surname. We joined the surname project, and they said he was a “singleton” ie no matches. Some people probably have good luck stories, but don’t necessarily expect your mystery to be solved.
Good luck with it all though.

Added: I see you are a new member. Maybe consider starting a thread about your brick wall ancestor - tell us everything you know about him and his family and maybe someone will be able to help you.
