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      // category
      <?php $categories = get_the_category();
						echo '<a href="' . esc_url( get_category_link( $categories[0]->term_id ) ) . '">' . esc_html( $categories[0]->name ) . '</a>'; ?>

      //taxonomy
						<?php			$terms = get_the_terms( $post->ID, 'cat' );
			if( $terms ){
				$term = array_shift( $terms );
		  echo '<a href="' . esc_url( get_category_link( $term->term_id ) ) . '">' . esc_html( $term->name ) . '</a>';
			}		?>