Adroitness, n.
The quality of being adroit; skill and readiness; dexterity. Adroitness was as requisite as courage. Motley.
Syn. -- See Skill.
Shades of meaning
Fernald has no entry of its own for adroitness; he lists it under address, dexterity.
Where he writes about it:
It includes adroitness and discretion to know what to do or say and what to avoid; ingenuity to devise; readiness to speak or act; the dexterity that comes of practise; and tact, which is the power of fine touch as applied to human character and feeling. — from address
Adroitness (F. a, to, and droit, right) and dexterity (L. dexter, right, right-hand) might each be rendered "right-handedness;" but adroitness carries more of the idea of eluding, parrying, or checking some hostile movement, or taking advantage of another in controversy; dexterity conveys the idea of doing, accomplishing something readily and well, without reference to any action of others. — from dexterity
We speak of adroitness in fencing, boxing, or debate; of dexterity in horsemanship, in the use of tools, weapons, etc. — from dexterity