Well, it combines two of my favorite name sounds (Tess & Ara), so I feel like I should love it, but I don't. It looks and sounds very made up to me.
Tessara also reminds me of the tesseract from A Wrinkle in Time. I can almost hear Mrs. Whatsit saying "Speaking of ways, pet, by the way, there is such a thing as a Tessara." I think that makes me like it a little bit.