Do you live in Queensland?
Tropical cyclones are very common in Queensland. Most home insurance policies won't cover you for cyclones and other weather events within the first 48-72 hours, so don't risk putting it off – if you want covered, you're best to get a home and contents insurance policy as soon as possible.
If you live in a cyclone-prone area of Queensland, it's very likely that you'll pay more for your home insurance because there is more risk of something happening. It's frustrating but it's probably not something you want to risk.