MsHarry yes she would. In most Muslim countries the houses are designed differently to have two separate reception areas. The one nearest the front would typically be where the man would entertain his male guests and visiting women would go to the back to see the lady of the house. That way it is unlikely that any visiting male is likely to glimpse the lady of the house in her relaxed, uncovered state.
Depending on how traditional and observant they were it would be likely they would never mix socially as couples, unless they were each blood related in some way, which is quite common. First cousins marry one another a lot. Obviously some families observe these social mores much more strictly than others, but that is generally how it is expected to work in many conservative (by our standards) Muslim communities.
Most women in very observant families would not be seen uncovered, or speak to (other than in a professional or official capacity) by any men they were not either married to or related to by blood. Obviously she could speak to a shopkeeper or a doctor or her male driver / gardener or whatever, but things are usually organised so that there are always chaperones, witnesses etc, and unrelated men and women are rarely left alone together or seen in a social setting, at least not without their spouses.
If someone calls unexpectedly and a Muslim woman who covers is alone she would definitely put on her hijab and/or abaya/chador or whatever before answering the door, or possibly not bother to answer the door at all. Many women would not risk being seen engaging with a man on her doorstep unless her husband, father or another trusted witness/chaperone was present.
It's a bugger for people who just want to read the meter.