The correct answer is option 'B' - but she felt angry. Let's break down the explanation:

Understanding the scenario:
- The lady encountered a second bear.
- Despite the presence of the second bear, she was not frightened.
- However, she did experience another emotion - anger.

Explaining the options:
a) Option 'a' states that the lady was not frightened of the second bear. This is correct because the passage explicitly mentions that she was not scared.
b) Option 'b' suggests that the lady felt angry. This is also correct according to the passage.
c) Option 'c' states that the lady was not frightened because the bear did not belong to her. This information is not mentioned in the passage, so it cannot be considered correct.
d) Option 'd' combines both options 'a' and 'b'. Since option 'a' is correct, option 'd' is also correct.

Reasoning behind option 'B' being the correct answer:
- The passage clearly mentions that the lady was not frightened of the second bear. This eliminates option 'a'.
- The passage also states that the lady felt anger. This confirms that option 'b' is correct.
- Option 'c' is incorrect because there is no mention of the lady's feelings being related to the bear not belonging to her.
- Option 'd' is correct because it includes both options 'a' and 'b', which are both supported by the information provided in the passage.

In conclusion, the lady was not frightened of the second bear, but she did feel angry. Therefore, the correct answer is option 'B' - but she felt angry.