。
It looks like appendicitis.
Literal
Appendix [like-のよう] is-[emphatic-ね].
盲腸 literally 'blind gut' — an old name for the appendix (technically the cecum). In common speech it refers to appendicitis, not just the organ. ~のようだ is the evidential 'seems like X,' with の after the noun. Final ね invites the listener's confirmation — a doctor-to-patient delivery of a tentative diagnosis.