The correct answer is FRINGE.

The question is a letter substitution puzzle. The first letter of the answer is the third letter of the first word, the second letter of the answer is the fourth letter of the second word, and so on. The answer is a word that is related to the word "WIDELY" in the same way that the word "QEHMDF" is related to the word "FRINGE".

The word "FRINGE" is a noun that means "the outer edge or border of something". It can also mean "a group of people who are not accepted by the main group". The word "WIDELY" means "to a great extent or degree".

The word "FRINGE" is related to the word "WIDELY" in the sense that both words refer to something that is on the outside or edge of something else. The word "FRINGE" can refer to the outer edge of a garment, while the word "WIDELY" can refer to something that is happening or known to a great extent.

The other options are not related to the word "WIDELY" in the same way that the word "FRINGE" is. The word "STRING" is a noun that means "a thin piece of material, such as wire or thread, that is used to tie things together". The word "FRANCE" is a noun that refers to a country in Europe. The word "DEMAND" is a noun that means "a strong desire for something".