Unless you're looking at baby name books or researching names online for baby naming, how many people actually consider what a name means when they meet someone? I'm sure if you call your DD Claudia most people's first reaction won't be "oh that comes from the Latin for lame".
Besides, it's not done Claudia Winkleman any harm - despite her being one of the most annoying presenters in the world!
Oh, and there is a feisty Claudia in Roman mythology:
Claudia was a Vestal Virgin as was thought to be Tarpeia, Tuccia, and Rhea Sylvia, who conceived Romulus and Remus. In Roman mythology Vesta pertains to a Roman goddess, the Sacred fire of Vesta, and the Temple of Vesta.
Claudia, a descendant of noble Roman stock, was devoted to her father and had much love for him. One day the Roman Senate decreed a great honor on him. While he was celebrating an elaborate triumph in front of a large crowd, a tribune of jealous plebs lunged forward to do him harm. Claudia, seeing this from the sidelines, rushed in between the plebs and her father to protect him. Somehow, this small woman managed to forge between her father and the attackers, giving her father a chance to escape. He was then able to continue his grand triumphal march to the Capital. Claudia, in turn, was also able to march triumphant back to the Temple of Vesta.
So I vote Claudia! :)