It doesn't sound like a successful WILD to me, unless you knew you were dreaming the whole time, pretty much.

If you didn't know you were dreaming until sometime into the dream, then it's a DILD created by a WILD attempt - basically a fancy WBTB-aided DILD. I had one of those...I dreamed I had a successful WILD attempt, and I was as lucid and in-control in the DILD sequence as if I were in a real WILD. "Falling asleep" in the dream was the trigger for dream awareness, and it ended as soon as I "woke up" in the dream back to normal nonlucid dreaming.

If you never knew you were dreaming, then it's a step on the way.