I) Context:
In the given scenario, the speaker initially believed that the house they were entering was empty. However, upon seeing the owner, their emotions and feelings change. We need to determine how the speaker feels when they see the owner.

II) Analysis:
To understand the speaker's feelings, we can examine the given options - excited, pleased, embarrassed, and indifferent. We need to consider the context and the speaker's initial expectations to make an accurate assessment.

III) Examination of Options:
Let's analyze each option and determine if it aligns with the given context and the speaker's likely emotional response.

a) Excited: It is unlikely that the speaker would feel excited upon seeing the owner because their initial expectation was that the house was empty. The sudden presence of the owner may surprise them, but excitement seems too strong of an emotion for this situation.

b) Pleased: Similar to feeling excited, feeling pleased would be an unlikely response. The speaker's initial expectation was that the house was empty, so encountering the owner would likely disrupt their sense of privacy or solitude.

c) Embarrassed: This option seems plausible as the speaker's initial assumption that the house was empty has been proven incorrect. The presence of the owner could make the speaker feel embarrassed for trespassing or intruding on someone's property.

d) Indifferent: Feeling indifferent would imply a lack of interest or concern about seeing the owner. However, given the context, it is unlikely that the speaker would feel indifferent. The unexpected presence of the owner is likely to provoke some emotional response.

IV) Conclusion:
Among the given options, the most appropriate choice is (c) Embarrassed. This aligns with the context of the situation where the speaker's initial belief that the house was empty is proven wrong. The sudden encounter with the owner could evoke feelings of embarrassment for trespassing or invading someone's privacy.