What kind of character does a person who makes loud exclamations have?
The adjective boisterous might well answer. OED offers “Abounding in rough but good-natured activity bordering upon excess, such as proceeds from unchecked exuberance of spirits”; Merriam-Webster makes it “very noisy and active in a lively way.”
Rambunctious is a relatively new North American expression that parallels boisterous:
adjective
difficult to control or handle; wildly boisterous:
turbulently active and noisy:
Another possibility is ebullient:
ebullience - Vocabulary.com
Bubbly, loud, and enthusiastic: ebullience means "the quality of being cheerful and full of energy."
synonyms:
exuberant, buoyant, cheerful, joyful, cheery, merry, sunny, breezy, jaunty, light-hearted, in high spirits, high-spirited, exhilarated, elated, euphoric, jubilant, animated, sparkling, effervescent, vivacious, enthusiastic, irrepressible
[Google Dictionary as was]
I would describe the way the woman in the video expresses herself as emphatic:
speaking or acting in a forceful way.
forceful and definite in expression or action.
(from W-W)
You can say the woman is
- "rumbustious" ("Uncontrollably exuberant" - TFD)
- "rumbustiously outspoken"
- "rumbustiously spontaneous"
Brian Donovan's answer, "boisterous", is a single word and fits better what you are looking for, though.