When I first started studying I prayed to God not to let me get involved with a false religion, I don't know what happened there!
I struggled with a variation of this quandary myself.
Adamah was right when he stated: "The very phrase "false religion" is a misnomer that serves the purposes of ALL religions, since it implies there IS a "true religion", a classic example of creating a false dilemma."
The more you research things the more you will discover that all religions have elements of truth in them, to a greater or lesser extent. The opposite also applies. The question you should be exploring is whether or not God purposely tripped you up or paved the way for you to grow spiritually and become a "true Christian", keeping in mind that the definition of a true Christian is not tied up in religious dogma, but rather in the heart of an individual.
They are the very ones who demonstrate the matter of the law to be written in their hearts, while their conscience is bearing witness with them and, between their own thoughts, they are being accused or even excused. - Romans 2:15
Allowing you to get involved with the Watchtower organization should not be interpreted as a prayer unanswered but as a lack of good options. I'm sure you will agree that there are many, many good, decent, sincere Christians who identify themselves as Jehovah's Witnesses. Christians like that come in Mormons, Catholics and Baptists too. They also come in people who no longer have any corporate religious affiliation.
Don't view your time as a JW as a measurement of how God feels about you.
Welcome to the forum.