Add a Widget area to the header?

I'm trying to create a new widget area in a header.php file. Will just put a text widget in there.

Trying to stumble through this, I was able to create the widget and get the text in there, but I'm not sure how to do the CSS.

http://spidercreations.net/wp-content/uploads/2014/01/iwd-header-change.jpg

Over on the right, under the navigation menu, I want to have a widget there to add the address, phone and email for the business.

Suggestions?

I'm thinking I need to style it so it is right justified and specify font.

Without any CSS, it's showing up under the logo, left justified, and the text in there is displayed with a bullet at the start.