According to FA2019, pg. 468:
Rosacea is a facial disorder characterized by erythematous papules and pustules, but no comedones (hence this patients erythema over the nose and cheeks, with scattered telangiectasias and a few papules); may be associated with facial flushing in response to external stimuli (hence, blushing easily, spicy foods precipitating a flushing reaction).
Acne vulgaris would present with comedones.
Carcinoid syndrome can also present with episodic flushing triggered by foods, alcohol, or stress. But, this would also present with systemic symptoms--diarrhea, weakness, SOB, sweating, etc.
Pityriasis rosea is a viral rash that lasts between 6-12 weeks and would not be expected as the cause based on this patient's 3-yr history.
Seborrheic dermatitis causes an itchy rash with flaky scales (no flaking present in our patient here),