In this paper, we propose Spotlight-TTS to address the challenges of high-quality, expressive speech synthesis, building on recent studies suggesting various methods based on style embedding extracted from reference speech for expressive Text-to-Speech (TTS). Spotlight-TTS exclusively emphasizes styles through speech-aware style extraction and style direction adjustment. Speech-aware style extraction focuses on voiced segments with high style relevance while maintaining continuity between different speech segments to enhance expressiveness. In addition, it improves speech quality by adjusting the direction of the extracted style and optimally integrating it into the TTS model. Experimental results show that Spotlight-TTS outperforms baseline models in terms of expressiveness, overall speech quality, and style transferability, and its speech samples are publicly available.