Losing my precious pets over time eventually caused me to have a major breakdown. If you can go to a grief and loss support group, or see a therapist and talk about the loss of your dear pal, please do so. Yes, time definitely works wonders...but helping things along with support can't hurt. I so wish I would have reached out when I was grieving pet loss, rather than "dealing with this myself". I could have saved many years of suffering and so, so much stress.
I wish you the best, and I am so sorry for your loss.