I am 46 and likely in peri-menopause. Still menstruating erratically. About a year ago I began to experience periodic episodes of sweating feet, which continues. I trust this is hormone-related and can deal with that. But, also about a year ago, I began experiencing an intense hot burning sensation around my face. Cheeks, mouth, brow. Eyes feel dry and burn, too. This has become more persistent - seems almost constant. Throughout the day. Best when I first wake up in the morning. Only rarely (perhaps cyclically?) does any visible flushing or redness occur. When it does, it is usually by my cheeks and also in my palms.
I am confident this is not a "hot flash." It is very specific to feeling like the skin itself is burning. Think it is low estrogen? Or more likely an allergy? I had a full physical within the past 9 months, by the way, with all blood tests etc. just fine. But I did not specifically discuss this because it was more episodic then.