There are various types of English Country Cottages. If you are looking for a cottage deep in the countryside you should search for a rural country cottage. If you have a dog or dogs that you plan on taking with you on a cottage holiday you should search for a pet friendly country cottage.
If it is complete relaxation you are after you may want to search for a cottage with a hot tub or if your budget permits it, a cottage with a swimming pool.
There are lots of English Country Cottages to rent so one thing is for sure, you should have plenty of choice.
If it is cottage for 2 that you are after then a romantic cottage with an open fire, hot tub or four poster bed may be what you are looking for.