The whole idea should be simple and minimalistic; it should also be cool and unique.
You could either design incorporating the three letters T, V, and N into a monogrammed logo, or create a completely unique logo without the TVN letters as well. (Please see below of some monogram styles preferred). I like stars, but not in the literal way.. it should be artistic and subtle (You may do with or without stars).
The words "Trish Van N" should be in a unique typeface, positioned below the logo. I do prefer clean, well-spaced Sans Serif fonts. If you have a minimalistic Serif font, I could consider as well.
I need the logo to be made into a jeweller's mark as well, something that is visible inside the shank of a ring.
Please do not design anything in the shape of a diamond/gem - that is too common.
Do refer to the sample logos attached for very good ideas of what will fit.