Hi,
You don't have to define this energy , specifically as a Native American thing, because it was in an animal form. It is better to look at it simply as spiritual energy(yin energy), present, during your session. A beautiful thing. Especially in the form of a deer. Next time, just keep your eyes closed. You can thank the energy, or deer, for coming, bringing you the beauty of its presence, your awareness, the gentle energy you felt, that it embodied. Ask for continued help with your exercises, self healing, your work for the day, whatever.. You can be in the head with these prayers, continuing focus on your exercise, or, move to your heart to acknowledge the presence, and share a feeling of loving, and joy in the presence of this energy.
It is energy that came to you. Acknowledge the gift, or presence, and continue on. The work you are doing, makes this possible, so going back to focusing on the work is good, Any further experience, or understanding, is there, within that work.
love,
gallen