Correct option is A
The correct option to fill in the blank is (a) but.
Explanation:
The sentence presents a contrast between the woman's eagerness to go out and the rain making it impossible. 'But' is the coordinating conjunction used to introduce a contrasting idea.
Example: He wanted to buy the car, but he didn't have enough money.
Information Booster:
Use 'and' for addition, 'but' for contrast, 'so' for result, and 'because' for reason.
So the correct answer is (a)