Blind date
The term blind date is somewhat misleading. That is, it just means you haven't seen that person before. Chances are, you haven't heard from them before, so you could also call it a deaf date. Similarly, you probably haven't touched them, smelled them or tasted them before either. Since none of the five senses has been used in establishing a prior connection, you could very well call it a senseless date. Of course, if things were to turn out well, you probably wouldn't call it that afterwards.