Dave: as flowers are generally pretty co-operative subjects, you have plenty of time to consider different framings and angles. I don't like to sound as if I am a know-it-all as I am still learning myself, every day, but this does look a bit as if you spotted the flower, got in close and snapped immediately.
As your focus is the bloom, then spending a moment to remove the dead leaves and twigs to simplify the background would be a good idea, and then looking for a framing to maximise its impact in the shot. For example, you could crop the bottom 2-3 cms here to advantage.
As it is, there is a bit too much 'clutter' here to allow the eye to rest on the snowdrop. The problem is that our eyes (or rather our brains) are good at ignoring things we aren't interested in, whereas the camera records it all impartially. Try to get into the habit of consciously looking all around the frame looking for distractions and possible problems before you click the shutter button. It will eventually become second nature - then if people say "why on earth did you include X or Y in that?", you can at least tell them you did it deliberately!
I did do a little tidying before I took the shot, I left the dead leaves in because they are frosty. The flower is still around, probably under 150mm of snow but I may try again with it.