This is some text that is not included in a paragraph. It should be centered across the page.

This is the text for the paragraph. It should be italicised and aligned to the right side of the page.

Normal Text is not centered. It is not centered because tables have a default alignment of left, so the center of the body does not cascade. It has a strong warning.
In a TD: under is underlined and right aligned
In a TD: center is bold and centered

This is in a paragraph, too. It has right alignment. It has an underlined warning.

This is not in a paragraph, it is centered. It has an emphatic warning.