If you bought the insurance online you should have rights under the distance selling regulations in that you can cancel without penalty within 14 days of taking out the policy and expect to be refunded in full providing no claim is made during this tiime.
I did this a couple of years ago when the policy automatically renewed and I then discovered a better policy cheaper, I rang the current insurer and told them I wished to cancel,they told me I would be charged for the 10 days cover until I informed them of the DSRs, got a full refund with no deductions.
If you do cancel I would suggest looking at an online quote from another company, check the premium and then phone them to confirm that quote and get it confirmed in writing.
Finally I take it your search engine is nosey google ? Ditch the search engine :)