Hi,
Your appliance has been given an annual statutory Safety check by a contracted Gas Safe registered engineer. This is a requirement under the Gas Safety (Installation &Use) Regulations 1998 -http://www.legislation.gov.uk/uksi/1998/2451/contents/made
Part F - Maintenance, section 36 - Duties of Landlords, give you the relevant details, and their legal duties they are required to fulfil, without exemption. Have a read so you understand the context.
Regarding the use of a condemned appliance; ON NO ACCOUNT USE ANY PART OF IT. The engineer should have left a Certificate of Gas Safety, detailing the defect, and the statement that the appliance is not safe to use. Your Landlord, what ever they are now called, have a statutory duty to act, and either repair, or replace your appliance without delay.
I had the same situation in a quarter in Cottesmore before I got the pension. Even had two small children as you do. The Families flight just buggered around, so I went to the SMO, and explained my predicament to him. He very quickly spoke with the station HSE Officer who confirmed the regulation. After that it was just a case of involving the Families flight to local purchase a new cooker and install. Took about three days from start to finish. We ate out for that time, and I think I claimed for actual costs with receipts.
In my humble opinion, you are paying for a service through your monthly rent. They have an absolutes duty to supply safe and suitable equipment. You pay for it, so start kicking back! Will be interested to know the result too.
Good luck
Cheers
Umbo
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