Does it make sense to make a character that is pure stamina? I'm thinking a redguard with light armour enchanted with stamina and stamina regen, will most likely be a stealth archer illusionist and if I get spotted then I deserve to die.
What do you think?

If your planning on illusion you will need a bigger magic pool. The pure stamina build could work with using magic if you are an assassin. You might find that limiting perks rather than stat choices is more fun though.

You could do it, but it isn't going to work very well. (so far as leveling stamina for no reason after a while)

Edit: this opinion is my own and i have a severe hatred of dying- youll die more- period(especially at higher difficulty) if thats ok, then it will work.

As a Ranged character, you have little if any need for Health as you should never be getting hit. Stamina further, stops to matter at a certain point. You could frontload Stamina then switch to Magicka when Stam does not matter.

your character is essentially the antithesis to ever needing stamina. Go for it.

thats what my thief archer is, pure stamina

i havent played that character in awhile but she had 100 health/magicka and i think around 350-400 stamina last time i checked it works out well for me