Though the dog is active at least it isn't a big dog that would look at kitty like a snack though even bid dogs usually back off from a kitty... all of my Akitas learned very quickly that kitties won't put up with them wanting to either play with them or eat them. I always warned them to be nice to kitties or they'll take out their eyeballs so fast they'll be staring up at themselves wondering what happened. As long as the dog doesn't resent the cat's intrusion into the household (and though you haven't explicitly said it seems that the dog doesn't have a problem with the cat but is more interested in wanting to play with it). It will take about a month or so for them to both settle down and live peacefully together in the same house though they may not ever become buddies.
When I was a kid we introduced a puppy to a two cat household. Though they learned to live peacefully all together they never did become friends but they did accept just avoiding one another. All of them were loners in that they didn't want any pet friends even though the two cats were brother and sister kittehs. When the dog was a puppy of course he wanted to play with them, but the cats let him know right quick that they weren't interested in playing with him and to respect their personal space... a swipe at the dog's nosy nose without putting their claws out was all it took for him to figure out that the kitties didn't like him getting so personal. Sometimes they would get close to each other (though respectfully not touching) when winter came and they'd all hog the area in front of the kerosene heater. That was as tolerantly close as the cats ever allowed with the dog and even each other.
As others mentioned, for at least a month keep them physically separated. They'll both get accustomed to the scent of each other and accept it as part of the home which is simple since they both have great noses, so they don't need to actually physically come into contact with each other to get used to each other's scent in the house. I still think especially with a rammy doggie that the cat will at some point give him a good swipe at the nose to make him respect their personal space. Though your kitty is shy, eventually it will probably lose the fear of the dog and then get annoyed with it if it gets too personal. Once that attitude changes kitty will let doggie know to get a grip and back off. Cats are really good at that. LOL!
It'll work out whether they become buddies or just learn to tolerate each other while respecting each other's personal spaces. As long as you and your new roomie are both on the same page as to how the pets learn to tolerate each other or even become friends, then all will be just fine. After a month or so they can likely be fine both having full run of the house with each respecting what the other wants.
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