Err, Robson Valley, did you paste that reply from another thread? Either way that has to be the prize winner for non-sequitur posts; wants titanium rod/wire, tell him to go to a horse tack shop for nylon webbing...eh what??
Pure titanium isn't what you want anyway, and while the nickel titanium looks cool, I don't think you will find it without very deep pockets.
I would look for 6Al4V aka Grade5
Ebay is probably your best bet.
https://www.ebay.co.uk/itm/Titanium...-5mm-6mm-7mm-8mm-10mm-20mm-25mm-/281740804072
What length do you need and what shape does it have to take, I assumed your application required it to bend into a hoop?
You might also be able to find something in 7075 or 7050 aluminium that would work for you. Easton make both arrow shafts and tent poles.
Have you considered carbon fibre kite rods and tubes?