I think the way you feel now is that you're telling yourself "I won't call my T because I want to be strong enough to handle this on my own". But, if the time comes and the worst happens, I think you should allow yourself the indulgence of calling her. It is not a sign of weakness to need to share your life with your T. Losing your pet is a terrible loss. I know how bad it feels. I won't have another animal again in my life because of the pain of losing one.

If the worst happens, the urge to call your T will be so strong, I think you will do it and will be glad you did. It's ok to need to be consoled over your loss. All of us need someone to go to. Don't hesitate and feel like you should go through this alone. Your T asked you to call her which means she cares. Let her care about you in your time of need.