Hey Cat, welcome to the forum
So even though it was really great to have any sort of lucid dream so soon, it was really short, fuzzy and I lost lucidity. Will this get better with time?
Sometimes we have dreams that are hard to remember. This still applies for lucid dreams. As you progress it should happen less and less, but don't expect it to stop altogether. If you're trying WBTB, you may need to find the best time to try it. 6 hours into sleep seems to be the most common.
The dreams you have later on in the night (in the early hours of the morning) are the most vivid. You want to try become lucid then.
Good luck, and congratulations on your first lucid dream!