It almost certainly won't, unless you're in a hot country with so much chlorine (chloramine) in there that you can taste it. Levels are commonly in the ppm range. Aging tap water for a few days and/or leaving it in bright sunlight for a couple of hours should take care of it I think although I still wouldn't put LSD in there.
LSD is not that fragile a molecule if stored out of UV and such, but apparently it is easily oxidized. But remember, it is way more potent so there is much less substance of it than say 2C-C.
Realistically 2C-C is more in weight and more stable and should sustain that chlorine easily.
That said, a little accident happened here which will be ok - but to be sure I would always use distilled or demineralized water with any compound. Just best practice.