The correct answer is C. with.
The word “acquainted” means “to be familiar with someone or something.” In this sentence, the speaker is saying that they are not familiar with the woman’s father. The preposition “with” is used to indicate a relationship between two people or things. In this case, the speaker is saying that they do not have a relationship with the woman’s father.
The other options are incorrect because they do not make sense in the context of the sentence. The preposition “of” is used to indicate possession or origin. The preposition “from” is used to indicate a source or origin. The preposition “to” is used to indicate a destination or purpose. The preposition “at” is used to indicate a location or position.
In conclusion, the correct answer is C. with. The other options are incorrect because they do not make sense in the context of the sentence.