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The rule of thumb is that they can hold it for their age in months plus one. So three hours is about the max you can expect from a puppy that age. Four hours might be pushing it. As a one-time thing it's not ideal, but you could try it. The problem is that if she gets really upset and has to pee in the crate, you'll set back housebreaking a bit and create bad associations for her with her crate.
Limiting water isn't a great idea, since dehydration can be really dangerous in puppies.
In that situation, I'd probably try to get somebody to come to the house at the halfway point. By 16 weeks, I wouldn't sweat a four hour stint, but a nine-week old has such a tiny, tiny bladder that it could backfire.