She is lovely but no way 6 in that pic. If this is your first horse, and bearing in mind I have no clue as to what experience you have, maybe a TB would not be so great.
I say that to you cos I was there, bought a TB windsucking mare as my first horse, and learnt very quickly when I got her fit, that maybe it was not one of my better moves.
(I say bought, to be honest she was almost given to me which says it all)
Whilst I would say I learnt a lot from her, I would also say, not all good
For a first horse, get yourself something that has been there and done it, that way your first venture into horse ownership is FUN. Get yourself something that you can relax on, can live out comfortably 24/7 and you can go and do whatever you want to do with it. Even older horses can have some issues, but with a young TB, you could be looking at lots of work, work, work. The right one will be out there for you at the right price its just a case of looking a bit harder.
Have fun looking, thats what it is about, make sure you get the right one.