She said the closure of other homeless services, following the city council's decision to cut its housing-related support budget by £3 million from 2012-13's £6.675 million, was to blame.
The future of the Padley Group's 10-bed hostel, above the day centre, was under threat after the cut meant its funding would be withdrawn. Mrs Zadora has now announced it will stay open for another year, thanks to public donations.
But she put the rise in demand for the centre down to other closures.
Mrs Zadora said: "It is down to the closure of other services. At the moment we are able to fulfil the higher demand but, if it gets a lot worse, that, of course, will be questionable."
Hostels that have closed include Hartington House, in Hartington Street, which had been providing housing and support for 40 people.
It was run by Metropolitan Housing, which has said it has worked to find alternative accommodation for the people who were staying there but that it still has "concerns about some individuals affected who are vulnerable and in unsuitable housing without support to meet their complex needs".
bTemporary Car Insurance For Young Drivers/b-How Young Drivers Can b.../b
How Young Drivers Can Save on Insurance
Young drivers are struggling more to afford motoring, the combination of soaring fuel prices and the rising cost of insurance is making it this way, it is possible to keep costs down though.
Younger, inexperienced drivers present more of a risk to insurers, which is reflected in the prices of premiums. The Association of British Insurers (ABI) has said that men under the age of 21 are ten times more likely to have an accident and subsequently make an insurance claim, than those over 35.
Pass Plus, an additional driving qualification, is one way young motorists can keep the cost of their cover down. The cost of this type of course is between £100 and £150 but you could save a lot more on you first year’s insurance policy.
A spokeswoman for RBS Insurance, Jennifer Culley said: “The benefit of the Pass Plus scheme is that it gives the policyholder a discount at the start of their time as a driver.
“However, if they already have a no claims discount in their own name, they would not receive a further discount for achieving the Pass Plus certificate. Younger drivers often think that buying an old banger will mean cheaper New York car insurance quote than when buying a new car. However, this could prove a costly mistake.
“Get a car with a small engine. Many motorists believe that if the car is old, the insurance is cheaper. However, older cars are easier to steal and often have bigger engines.
“They are also heavier, so cause more damage if they are in a collision. Young drivers should try to get a small car by a well-known manufacturer with a 1.0 or 1.2-litre engine to help keep insurance costs down.”
A tactic that consumers often use to keep the cost of car insurance down is known as “fronting”, this is where one person, usually a parent, insurer a car in their name and adds their child as a named driver. However if the named driver is the main or only driver this could have implications should a claim need to be made.