Example of unramified covering map of degree d

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In my self-study of Lec.10 of Belyi Maps and Dessins d'Enfants, I came across the following statement

[Right after Remark 7] Let $X$ and $Y$ be Riemann surfaces and $\pi: Y \rightarrow X$ be an unramified covering map of degree $d$...

I understood that an unramified covering map means a covering map without branch points. And I tried to work out some intuitive example of an unramified covering map of degree d;

  • A map being restricted to a domain without branch points, e.g., $y = \sqrt{x}$ on $\mathbb{C} \backslash \{ 0 \} $.

Am I right?