The answer to 'faucet won't flush' is that a clogged or blocked faucet is the most common cause. This can happen due to mineral buildup, debris, or other obstructions preventing the water from flowing properly. Symptoms may include low water pressure, dripping, or the faucet not turning on at all.
In many cases, you can try to clear the blockage yourself by disassembling the faucet and cleaning out any debris. This may involve removing the faucet handle, cartridge, or other components to access the inner workings. However, if the issue persists or you're not comfortable taking the faucet apart, it's best to call a professional plumber to diagnose and repair the problem.