This queue hasn't moved in five minutes. I'm getting a bit ____________!

The appropriate choice for filling the blank is "impatient." This word is an adjective that describes a state of being unable to wait calmly for something or feeling restless due to delays. In this context, the speaker is expressing their feelings about the queue not moving and how it's affecting their mood, making "impatient" the best fit.

In contrast, "impatience" serves as a noun, which wouldn't fit grammatically in the sentence as it requires a descriptor of the speaker's current emotional state. "Impatiently" is an adverb, and while it relates to the manner in which someone might act when feeling impatient, it does not function as a direct response to the emotional state mentioned. Lastly, "patience" is also a noun and would not make sense in this structure since the sentence calls for an adjective to modify the implied subject relating to the speaker's feelings about the queue.