Having a gas stove is not dangerous. They come equipped with flame failure devices that do not allow gas to flow if there is no flame. However, all gas appliances need to be installed safely by a regesterd gas installer.
Some tips to make your gas stove safe
It is advisable to install a gas stove in a properly sized kitchen, installing a gas stove in a small room is not advisable as the combustion of the gas can use up the oxygen in the room. There needs to be a gap of 6mm or more on the door to the outside (or an equivalent sized air brick at floor level) nearest the gas cylinder if the gas cylinder is installed inside.
Proper gas combustion
Carbon monoxide (Co) is very poisonous and occurs when there is not enough oxygen being supplied to the gas burner and there is not complete combustion. It’s quite easy to spot when a burner is not getting enough oxygen, the flames will be red/orange or partially red/orange, another indicator is that there will be a black soot that collects on the bottom of your pots and pans. If your gas burner is not get enough oxygen it does not make the gas stove dangerous, however in the right circumstances it could become dangerous. For example, you have your gas stove installed in a small unventalated room and the gas burner is not receiving enough oxygen to burn, the unventalated room is dangerous enough with only having co2 (complete combustion) but having co (carbon monoxide / incomplete combustion) is alot worse.
Having aa proper installation, installed by a regesterd gas installer is very important. We see many DIY installations that are leaking like sives that are quite dangerous. For example if a hob was installed and there was a leak on the fitting and there was a faulty electrical connection below the hob. There is a chance that the gas could ignite and result in an explosion. This is not very likely but when an installation is not done correctly anything can happen.