Phosphorylates 6-deoxy-6-sulfo-D-fructose (SF) to 6-deoxy-6-sulfo-D-fructose 1-phosphate (SFP). 6-deoxy-6-sulfo-D-fructose + ATP = 6-deoxy-6-sulfo-D-fructose 1-phosphate + ADP + H(+) Induced during growth with sulfoquinovose. Mutant fails to grow on sulfoquinovose as a sole carbon source. Belongs to the carbohydrate kinase PfkB family. Extended N-terminus.