Bright Colors, a hungry deer just ate the top of my favorite Ti so I understand how you feel. However, they are very forgiving plants and yours will do just fine.
Scott shared a unique method of rooting Ti's with me a while ago. He cuts the stem, like Gina mentioned, on the hardened section, lets it dry or callous for a few days then puts the cut section in a container in about an inch and a half of water, no more than that. I tried this and it is amazing, roots formed within days. Scott, if I have this wrong please chime in.