ET - Extraverted Thinking

Superior Function

Is fed from objective data—facts and borrowed ideas.

Depends upon the facts of experience and regards the abstract idea as unsubstantial and of negligible importance.

Relies on facts outside of the thinker, which are more decisive than the thinking itself, for soundness and value.

Has as its goal the solution of practical problems, discovery and classification of facts, criticism, and modification of generally accepted ideas, planning of programs, and developing formulas.

Dwells upon the details of the concrete case, including irrelevancies.

Has a tendency to multiply facts until their meaning is smothered and thinking is paralyzed.

Consists of a succession of concrete representations that set in motion not so much by an inner thought activity as by the changing stream of sense perceptions.

Myers, "Gifts Differing: Understanding Personality Type"

Extraverted Thinking (Te) uses explicit logic, including standardized
methods, measurements, policies, and procedures, to make systems and
operations more rational, efficient, or effective. This often involves working
as part of an institution, be it corporate, scientific, academic, etc.
Outwardly, Te delivers opinions and directives in a firm, direct, measured,
and unemotional fashion. It may at times be perceived as harsh, tactless, or
unsympathetic.

A.J. Drenth, "My True Type: Clarifying Your Personality Type, Preferences & Functions"

Manager Te:

Committed to succeed at a few ambitious goals. Speak logically and confidently. Apply a business mindset to affairs. Manage and drive others as resources to get things done. May put speed or profit above usefulness or accuracy. 

Builder Te:

Helpful hardworker. Efficient, frugal, economical and timely. Focus on doing work right. Avoid distractions. Perfect details and optimize functionality. Comfortable with different forms of complexity and multiple projects.

Dario Nardi, The Magic Diamond: Jung's 8 Paths For Self-Coaching

Inferior Function

What exactly is Dominant Te repressing Inferior Fi?

Dominant Te repressing Inferior Fi is when someone puts predominant focus on empirical facts, mechanics, and pragmatism that they start to repress personal feelings, passions, interests, religious devotion, patriotism and the such. It represses subjective values for the sake of an empirical fact or result. It puts more focus on practicality and utility that it will start to view its personal values negatively, and is a mere slave to their goal. 

How does Inferior Fi manifest?

The more Inferior Fi gets repressed, the more it will manifest in the forms of hostility and mistrust. It becomes aggressive and petty against those that question their logical formula. At some or extreme cases, it might appear bigoted and tyrannical, getting emotional and acting combative to those that threaten or question their formula. Consequently, it might lead to certain acts of personal 'immorality' such as deception, fraud, or self-seeking behavior. 

Quote by Carl Jung

His feelings have a sultry and resentful character—always a mark of the inferior function. Magnanimous as he may be in sacrificing himself to his intellectual goal, his feelings are petty, mistrustful, crotchety, and conservative. Anything new that is not already contained in his formula is seen through a veil of unconscious hatred and condemned accordingly. As late as the middle of the last century a certain doctor, famed for his humanitarianism, threatened to dismiss an assistant for daring to use a thermometer, because the formula decreed that temperature must be taken by the pulse. The more the feelings are repressed, the more deleterious is their secret influence on thinking that is otherwise beyond reproach. The intellectual formula, which because of its intrinsic value might justifiably claim general recognition, undergoes a characteristic alteration as a result of this unconscious personal sensitiveness: it becomes rigidly dogmatic. The self-assertion of the personality is transferred to the formula. Truth is no longer allowed to speak for itself; it is identified with the subject and treated like a sensitive darling whom an evil-minded critic has wronged. The critic is demolished, if possible with personal invective, and no argument is too gross to be used against him.

References

https://watchwordtest.com/types

Psychological Types