I was ready to book seemingly the ideal holiday for me in a locally rated 5* hotel (brochure rated as Premium Plus) but discovered there is no tea / coffee making facilities in the room. There is free wifi in all rooms, however.
I am somewhat surprised - would it put you off going?
It wouldn't put me off, if it's in the UK and you're driving just chuck a kettle and some teabags in the car, if it's abroad then I wouldn't expect it anyway.
Outside of the UK it's not often you get a kettle in the room; they want you to buy tea and coffee from the bar I have a travel kettle which I carry with me (only 0.5L) as I'm the same I need my tea when I wake up.
As a big tea drinker I would initially be horrified, but on holiday I do not drink tea at all, it tastes strange. Do take your own teabags/coffee, and travel kettles are quite cheap.
We also (somewhere ) have a heating coil device which fits over a mug and boils the water inside in a trice. Pop in a tea bag, find your carton of UHT milk pillaged from a cafe and you're off.