To answer your question, acute appendicitis can be treated with medications in select patients with minimal risk of complications. If so, it is usually a temporary measure and requires surgery after a particular interval which can be completed laparoscopically.
However, to answer your question with respect to your diagnosis, I would require a detailed history and more information. Feel free to get in touch with me as a consult if you'd like me to answer any further questions. Thank you.
Next Steps
Complete your course of medications as advised and follow up regularly for further treatment.