We are given that there are two housewives, one professor, one engineer, one lawyer and one accountant among A, B, C, D, E and F.

The other information given is that only two married couples are in the group.

We are given that the lawyer is married to D, and D is a housewife.

We are also given that no woman in the group is either an engineer or an accountant.

C is an accountant, has to be male, and is married to F, who is a professor, who has to be female. 

Putting this information in the table, we get,

We are also given that A is married to the housewife. We know that there are only two married couples in the group, and C and F are already one couple in that group. We also know that D is a housewife and married to a lawyer, so this has to be the second couple, and A has to be the lawyer.

This leaves us with B and E, as well as housewife and engineer professions. Given that E is not a housewife, E has to be the Engineer and B has to be the housewife. Since the engineer cannot be a woman, E has to be a man, and B has to be a woman. 

Putting all the information in the table, we get,

We can see that E is an engineer.

Hence, the correct answer is option A.