The word despair is followed by "of" in an archaic construction equivalent to "give up hope."
e.g. I despair of ever reaching home.
The word despair is often the object of prepositions "in" or "of" (e.g. depths of despair).
despiar at is sometimes used
what preposition goes with inspired
The preposition "of" typically goes with "guilty," as in "guilty of a crime."
The preposition "from" typically goes with the verb "suffer." For example, "She is suffering from a headache."
The preposition "with" typically goes with "acquainted" in expressions like "acquainted with."
"Shrink" typically goes with the preposition "from," as in "The fabric shrank from hot water."
The preposition "with" is typically used with the verb "interfere." For example, "He always interferes with my work."
The preposition "with" typically goes with the verb "mix." For example, "Mix the ingredients with a spoon."
from
According to me, the correct preposition is to.
Hate blows a bubble of despair means that hate goes out into the atmosphere and creates a bubble or shield of despair.
The preposition "to" typically goes with the word "obstacle". For example, "There were many obstacles to overcome in completing the project."