Educate yourself, please. Water is wet, but please know that molecules don't actually touch each other. The reason water is wet is because the definition includes the phrase "saturated with." Saturated (chemistry): "the degree or extent to which something is dissolved or absorbed compared with the maximum possible, usually expressed as a percentage." Thus, if a towel is soaked with water, it is wet. More importantly is the percentage. Anything that is at least 1% water is wet. Seeing as how water is primarily composed of water, it is therefore wet. Also, it doesn't matter if you "feel" wet while under water, because that literally holds no relevance to this debate. Also, if you say that water isn't wet because it can't get wet, allow me to remind you that that is because it is already wet. And finally, just because you "wouldn't say water is wet" doesn't mean anything. Heck, lava is wet. Not saying it doesn't make it not true.
Of course water is wet. A common argument made against this point is that the definition of wet is something covered in water, and water cannot be covered in itself. Not only is that not the complete definition, but even if it were, of course water can be covered in itself. Water is made up of molecules, and each one covers the others to some degree. Even the molecules on the very edge of the droplet are at least halfway covered by the ones behind it. But that isn't even the whole definition. The definition of wet has two parts: "covered or saturated with water or another liquid." [Merriam Webster] While my aforementioned argument applies to the "covered with" part of the definition, saturated (chemistry) means "the degree or extent to which something is dissolved or absorbed compared with the maximum possible, usually expressed as a percentage." [Merriam Webster] In other words, anything that is composed of at least 1% water (or other liquid) could be said to be wet. As water is composed primarily of water,  it is wet. My final rebuttal is that some people say, "If you say water is wet.... Say you pour water on water, would u say the water is wet? No!" [Debate.Org] The counterargument here is that linguistics doesn't depend on common parlance. Just because you say something doesn't make it right. Cite your sources.