Will Invisalign Fix my Rotated Canine? (photo)

I'm 31 and I have this transposed and rotated left canine I want to fix with braces. I don't want fixed braces, so my dentist proposed two options: Invisalign or lingual braces. I prefer Invisalign, but I don't know if it will work for me. I also understand that with Invisalign, it's not easy to predict the movement. In any case, the dentist suggests removal of an upper left premolar, to make enough space for the canine. I'd also like to know about the duration of the treatment. Thanks in advance!