The simple answer is, no, this won't be allowed in any normal hotel-hotel.
Very simply, use holidayrentals.co.uk or airBnB.com to rent a "gite" instead. You'll save more money and it will be far more suitable for what you want.
You can instantly find examples of what you want, https://www.homeaway.co.uk/p78239
You mention a TWO WEEK stay so, indeed, it is very likely you would want to get a holiday rental, not stay at a hotel.
Note that in most world regions now, there's a category of "apartment hotels" (sometimes "suite hotels" or "long stay hotels" or "business hotels" or "aparthotels" or "apart-hotels") that indeed have kitchens, example
http://glasgow.frasershospitality.com/en/gallery.html
(go to the third photo!)
and this can blend through to just renting a "serviced apartment", so:
http://www.premiersuitesglasgow.eu
which of course have kitchens, priced for corporations though.
You are basically the perfect customer for holidayrentals.co.uk or airBnB.com.
TIP - book EARLY as the small owners of holiday apartments, sell out weekends and short stays you know? So it's hard to book two whole weeks, in some cases.
TIP - for two weeks you can definitely pay less! Just politely email and say "how much as you asking for a two week stay?" Good luck!