What is the part of speech this patiently?

"This patiently" is not a grammatically correct phrase, and therefore, it doesn't have a specific part of speech. Here's why:

* "This" is a demonstrative pronoun, used to point out a specific thing.

* "Patiently" is an adverb, describing how an action is performed.

To make a grammatically correct phrase, you would need to add a verb after "patiently." For example:

* He waited this patiently. ("Patiently" is an adverb modifying the verb "waited").

In conclusion: "This patiently" is not a phrase with a definable part of speech.