In the reaction you provided:
\[ \text{HCl} + \text{H}_2\text{O} \rightarrow \text{Cl}^- + \text{H}_3\text{O}^+ \]
HCl donates a proton (H⁺) to water (H₂O), making HCl the acid and H₂O the base. When H₂O accepts the proton, it becomes the hydronium ion (H₃O⁺). The chloride ion (Cl⁻) is the conjugate base of HCl.
Therefore, the correct statement is:
HCl is an acid, and Cl⁻ is its conjugate base.