No way you should make a claim on your personal insurance. Just as an aside, I'm in the US, and many homeowner policies are void if they find out that you are doing short term rentals in your home, so be very careful about approaching your insurance company. Read carefully through your policy to make sure that "commercial activities" aren't prohibited. You most likely need specific insurance coverage for your place, regardless of whether you live there or not, if you are using your space for any kind of business, ie renting for money.
To get back to the question at hand, reply to them that your home insurance coverage isn't for damage caused by guests. Most likely the amount is less then your deductible anyhow!