"Looked fixedly" means to gaze sharply and intensely at something or someone. There are many synonyms for this phrase, including stared, gazed, peered, scrutinized, observed, examined, and surveyed. These words often convey a sense of intent and concentration on a particular object or person. People may also say that they "locked eyes" with someone or "held someone's gaze." These phrases communicate a connection and intensity of the moment between two people. Using synonyms can enhance your writing by providing a variety of word choices and allowing your readers to visualize the scene more vividly.