As others have indicated, unless you bought the machine directly from Bissell, they've every right to simply tell you to go and take a very long jump off a very short pier. The retailer, and not the manufacturer, is responsible for remedying any faults that appear.
As Barry has stated though, you can ask for a replacement but the retailer is entitled to opt to repair the product instead. (I think Barry's second 'replacement' is a typo for 'repair').
Further, as more than 6 months have passed since you bought the product, there's no longer an automatic assumption that anything which goes wrong with it must be due to an 'inherent fault'. (i.e. something which was actually wrong with the cleaner at the time of purchase). Unless you can prove that there was an inherent fault, there is no obligation upon the retailer (or the manufacturer) to either repair or replace the defective part.
The only exception to the above (which relates to your statutory rights under the Consumer Rights Act 2015) is where the manufacturer has sold a product with a guarantee. The manufacturer (and not the retailer) is then obliged to honour the terms of that guarantee but those can be as generous or as limited as the manufacturer chose when setting out the terms of that guarantee. (e.g. if a guarantee states that a fault will only be remedied if you deliver the machine to the factory that made it, in China, in person on 29th February, while standing on your head and singing the Albanian National Anthem backwards, you have no other rights than that under the terms of that guarantee. You need to read the small print!)