Hey Evie, welcome to TPF!
First may I suggest you change your status to Photo's are OK to edit. Sometimes a quick edit when doing C&C can say it better than any words ever will
I echo Bo4key's thoughts. You captured the icicle very very well, exposure and focus is spot on when viewing it large. The background kills it at first look. Since you chose a great angle for the light on the icicle you have to now work with the background you have, if this was my shot I would do a big crop of the center of the icicle eliminating all of the background, problem solved (If your photos were ok to edit I would have done a quick crop).
When composing a shot think about the subject, is it wide, is it tall, what about it do I want to accentuate?
In this shot it is about the flow of the ice, top to bottom so a vertical composition would be better.
Nicely seen, technically captured very nicely, pay attention to your backgrounds and what it is about your subject that you want to accentuate and you are off to a good start

I would suggest doing some research on composition, there are some great books but I don't know them off the top of my head, hopefully someone else will chime in with some suggestions on specific resources.