@imagitude because you are adding content in the visual editor for wordpress it is automatically adding <p> tags around your content within the block quote. This style reference comes after the blockquote so even though the browser is seeing the blockquote css it is then overwriting it with the paragraph formatting. If you then change your <p> formatting it would change the formatting of all your text. The blockquote p{} specifies that if it is a paragraph within a block quote to make that style adjustment
esmi is correct in stating that the p styling is conflicting with your blockquote styling. In your style.css instead of using blockquote{} use blockquote p{}
