If the woman meant (a) "I can't utter the word no in response to any request from you," then she can't abide by her companion's request (to say "no") without falsifying what she has just said. Still, I agree with you that there's no paradox here. The woman can abide by the request to say "no" by saying "no" in response to it. As far as I can see, the appearance of paradox depends on supposing that the woman meant both (a) and also (b) "I can't deny any request from you." But, as you suggest, she can't have meant both (a) and (b). All that follows is that (a) and (b) can't both be true if her companion asks her to say "no." Nothing especially interesting about that.