Well, lets break it down to what you can do.
Are you on the list for a council house? Go down and speak to them. Most likey you will be low priority because you have a home, but you will get on there.
Next make an appointment with your GP. If your GP is not sympathetic make an appointment with a different one at the practice. Explain about your living conditions and worries about the health of the DC. Also mention how low it is making you feel.
Then go to the councils environmental health and ask them to come and assess the house and its suitability and health risks.
When armed with that info go to your LL (or perhaps EH will I'm not exactly sure how this works) and request the repairs as urgent. Also go to the housing department and see if this gets you classed as a higher priority.
In the mean time do you have the funds to move to another private rental? Or do you have any money to start putting to one side to get to that point.
Often when faced with big problems, if you break them down into small ones you can deal with them better. None of this is an imediate solution, but it is a start.