Frank, Queen Palms are too much work. They grow very large and the roots fill the soil. They need lots of water and nothing else will grow underneath them. They ruin sewer pipes. They drop fruit and flowers everywhere. I would not plant one in your rock garden. Maybe you can keep it in the pot.
Renee

Renee, I have a good idea. I will remove many rocks from my garden would be new soil ground then I will plant this little queen palm tree. I will figure out to fix it. -Frank.

Syagrus romanzoffiana becomes very large. It will destroy any hope you have for your little rock garden.

Frank, my queen palms are tall. Some are nearly 30' tall. And they're not that old. Things will grow under them, but there is a fair amount of competition for root space, so not all things will. This is not the look you're after, I am sure. Try something much smaller if you want a palm, like a Pygmy Date Palm.

Patty S.

You know Patty, I initially read that as, "This is not the palm you are looking for." Geez, I don't even think of myself as a Star Wars fanboy...

O.P. I have to agree with the rest of the posters. Setting aside the mess and root competition, Queen Palms just aren't suitable for that application.

Ryan