you've had TWO dates. You don't need to know anything about where "this" is going or if he's "sexually" attracted to you or not. What you do need to concentrate on is whether or not a next date is coming after he's feeling over the flu. You might want to invite him OUT to dinner so that he knows you're interested in keeping him around for a companion IF the two of you find you're compatible and like one another. At 60, for all you know he could have erectile dysfunction but that's not anything to worry about at this point ... get to know him better and as you do, you'll learn more and more about him and you'll discover soon enough.
"Neither of you are interested in getting married again. That's at least one thing you know you want (or don't want). Do you know exactly what you DO want for your dating goal(s)? That is how you get what you want... by knowing what it is you want and then not settling for anything less.
Pay attention to his actions (not his words).
“The willingness to accept responsibility for one’s own life is the source from which self-respect springs.” ~Joan Didion