The correct answer is D. Meddle officiously in.
To thrust one’s nose into something means to interfere in something that is not one’s business. The other options do not have the same meaning.
A. Advise me about: to give someone advice about something.
B. Be in opposition: to be against something or someone.
C. Deal with: to take care of something or someone.
The sentence “Don’t thrust your nose into my affairs” is a way of telling someone to stay out of one’s business. It is a way of saying that one does not want someone else’s advice, opposition, or interference.