The adverb profoundly means something similar to “extremely,” with the additional sense that it's something intense and deeply felt. If you're profoundly confused, you're very confused — confused in a way that seems bottomless. The word can also describe something that affects you greatly.
Students and orators find that using an outline assists their presentations and keeps them on track. While speaking, students and orators may stray from their main ideas. An outline in lieu of note cards helps the presenter achieve his goals in a timely manner and promotes a more efficient and informative presentation.
23. “all things considered” is a nominative absolute (NA).
24. “a nuclear engineer” is an appositive (AP).
25. “There” is an expletive (EXP), as you correctly noted.
26. “Maria” is used as a direct address (DA).
27. “green” is an objective complement (OC).
28. “president” is a predicate nominative (PN).
29. “alert” is a predicate adjective (PA).
30. “There” is, again, an expletive (EXP), as you again correctly noted.
31. “fence” is a direct object (DO).
32. “us” is an indirect object (IO).