Outwardly beauty or outward beauty?
Solution 1:
Your first phrase is not quite correct.
Depending how you want to use it, you want either a noun or an adjectival phrase.
As a noun:
She has outward beauty.
As an adjectival phrase:
She is outwardly beautiful.
Since a complete sentence wasn't used in the question, it's not possible to tell which of those two would be appropriate in the context you're thinking of.
Solution 2:
In this case "outward beauty" would be more correct, as "outward" is an adjective referring to "beauty", a noun, although consider "outer beauty", as it sounds more natural in my opinion.