Nuclei tell the story: papillary thyroid carcinoma is a diagnosis made on nuclear morphology, not architecture. The slide shows Orphan Annie eye nuclei (empty, ground glass chromatin), nuclear grooves and pseudoinclusions, with psammoma bodies in true fibrovascular-cored papillae. That combination is pathognomonic for papillary carcinoma.
Distinguish the mimics. Graves disease also forms papillae, but they are hyperplastic, lack fibrovascular cores and the nuclei are normal. Follicular adenoma is a solitary encapsulated follicular proliferation without papillae or clear nuclei. Adenomatous goitre is a multinodular colloid-rich lesion. None reproduces the optically clear nuclei and psammoma bodies, so the answer is papillary carcinoma of the thyroid, which characteristically spreads via lymphatics.
Ref: Robbins Basic Pathology, 9th edition, pg 736.