I've read a few books on handwriting analysis, it's super interesting. I don't know why people don't take it seriously, you have to make many small choices when writing and what you use to make these choices are not separate from what you use to make choices in life.
But take my interpretation with a grain of salt of course.
To start with, a downside of this text for analysis is that it's a memorized quote instead of free writing.
Starting a text high up on the page translates to informality.
The rightward slant means expressing real emotional feelings, rather than suppression (vertical) or repression (leftward).
The fast speed along with the horizontal emphasis gives the impression of a very strong work drive. The long lower zone signals restlessness. She might be quite busy.
Print-writing shows efficiency or intuition, or both.
Retouching of letters indicates self-directed perfectionism. When t-bars are lower than the other letters' middle zones the person may be underestimating herself or her abilities at the moment of writing, so on the off chance this is true I want to send Teal a big hug.
Tendency to an upward galloping baseline is an indicator of letting impulse roam under the reigns of reason. Baseline can also be slightly wavy which means changing moods. Together with heavy pressure it can signal receptivity.
Large handwriting may point to strong will or insertion of self in the environment. In fact, many features point to expansion - width, strong movement, speed.
The pressure is normal to slightly heavy which is another sign of self-assertion, as well as vitality.
Will and self-assertion is also seen in the emphasis of the ends of words. Embellishment at the start of a word can mean being conscious of how one appears, and this is added to the b almost as an afterthought.
She has a stick figure upper zone, meaning a person who is direct and gets to the heart of the matter.
Random capitalization suggests disregard for social norms and conventions, as we'd expect.
A noticeable feature in the text is the irregular margins. In normal writing irregular left margins symbolize dynamic impulses of restraint and release and irregular right margins the dynamic between economy and generosity. I suppose the right margins mean less since she was supposed to fill out the whole page after all. If I were to expect the left margins to be in a cascade pattern, the tendency is towards restraint (of/experience/but) but it may rather be a balancing act between the aesthetics of a cascade pattern and the economy of using the whole line.
Slightly narrow line spacing can mean wanting a strong bond to the environment.
There is an element which is called the felon's claw, shown as a claw that ends in the lower zone like in the letter g. This doesn't mean that the person with this trait is a felon, but that the underlying feature causes incentive to seek punishment. This underlying feature is that the person was made to feel inferior and guilty in childhood and now has an unconscious need to feel guilt and create situations that validate this life-position. The person may unconsciously seek to prove wrong other people's positive views of her. (If the claw ends in the middle zone it's conscious.)
A signature in a different writing than usual writing means a difference in private and public presentation, which Teal has remarked herself. A somewhat larger signature than writing means a healthy self-confidence in public settings. It is even more slanted rightwards, normally meaning greater emotional expression in public, but since the regular text is a quote instead of free writing, this point may be moot. Crossing out the last name is often a sign of distance to the person who they got it from. That her first and last name is connected can point to her personal and professional lives being intertwined, to the degree they are on top of each other. There may be some negative feelings at the time of writing as the signature is striked through and descending.
There is more to say about individual letters, but this is getting a bit long. For example her p's are quite prominent, I think overall they signal internal physical health. Her w's are also interesting, there is the same quirk twice - clearly significant. There is an interesting ending to one of the e's too. In general a tail means a tendency to think about what has occurred in the sphere relating to the letter in question.
Again keep in mind I'm somewhat learning this as I go along.