It depends on both your perspectives as to the relationship each of you may be contemplating.
Personally I'd feel an extreme lack of confidence in that situation and this alone would tend to prevent me seriously considering it.
However if each of you are confident about who you are and about each other, then I see it as ok to see how you both integrate at a personal level. Some couples these days look at relationships in terms of the immediate future and not 15yrs from now, which is something else that would haunt me!
Everything is relative, and if the chemistry is there it may be something that could grow into a beautiful relationship.
Workplaces do produce a number of relationships in our society, but they can equally cause subsequent difficulties and it would be wise to consider any negative effects on your position should a relationship be started and later break down.
Part of your difficulty is that a non - stereotypical mating lies before you - age and the stigma of young women/ older men psychologies, as well as the frowned upon 'mixing work with pleasure' situation. All depends on how you both think you could handle all these complications in a way which makes them uncomplicated.