Put the oil in a glass measuring cup or pitcher that you can easily handle with one hand while whisking with the other.

Put the egg yolk in a medium nonreactive bowl. While continuously whisking, add the oil drop by drop, incorporating each drop before adding the next. As the mixture thickens and emulsifies, begin adding the remaining oil in a slow, steady stream, continuing to whisk vigorously, until you have added all of the oil. The mixture should be thick and glossy. Whisk in the vinegar, Tabasco sauce, cayenne pepper, and salt until fully incorporated.

Refrigerate in an airtight container for up to 1 week. Briefly whisk smooth before using.