After taking such a day in which you take some time for yourself, the next time you see each other do some of the following:
- Thank her for letting you have that day
- Give her a small gift (flowers, chocolate, etc.)
- Tell her she gets to decide what you'll be doing that day, absolutely anything she wishes
Counteracting this seemingly negative situation (you say "no" to an outing) with a positive outcome you'll see that in time she will start to react differently. That is because you've transformed it into something else, something somewhat positive.
Me (22) and my boyfriend (21) have been together for 2 years now and this works for us when one of us is busy and we can't meet, but we compensate on a later occasion. ("One of us is busy" can mean times when we just needed a lazy day, or he wanted to go out with his friends.)
Obviously the method that worked for my relationship won't work for everyone, at least in my case it helped us accept when the other isn't in the mood for going out/is too busy. In the end it all comes to mutual respect and understanding; if one takes advantage/holds it against their partner then they clearly need a more in debt discussion about boundaries.