To summarize: Dames are best avoided. Bribery can work, depending on the order and it is preferable to have the Dame on your side.

Should a battle be unavoidable, avoid close quarters combat with the Dame for even with nummerical advantage the advantage is rarely favorable,

When engaging the Dame from a distance, ensure that they may not reach your position, and employ artillery judiciously,

Should this not be possible, consider taking flight while sacrificing lesser quality units to slow the enemy.

Should this not be possible, consider suitable final rites before the Dame may reach you,

for Dames are short of mercy and full of spite against the common sellsword.

-Condottieri Primer, Facing The Starknight Corps part 4