Can you flavor the water? Guess the question would be better stated, "Would it be easier for you to get down if it were flavored water?" If it doesn't have to be plain water, you could take some in the form of ices, like a Slushee, maybe?
Bet you don't get sick often, which might be contributing to the wanting to tough-it-out. Normal reaction to wait and see if whatever it is will go away by itself; and a generally sensible reaction, too. Now you know that
this problem may be recurrent, though, could try turning that stubbornness toward doing what is needed to keep it from happening again.
Easier to suffer a little now than a lot more later.
I have some chronic conditions that flare up periodically and have to remind myself of that same concept--and I sure don't like it when I have to nag myself, either!