Wait - you match a woman on Ancestry DNA and you are asking whether your match is through her husband's tree? I'm not following this part. Do you mean her father's side?
Anyway though, predicted second cousin matches are intriguing because this means that you share enough DNA in common so that you should share great-great-grandparents. Since we each only have 16 great-great-grandparents, second cousin matches are often really promising because you can just look at your tree in comparison with your match's tree and come up with a reasonable idea of which ancestors could have been related.
The only exception though is if you have recent ancestors from an area in which there was a high level of intermarriage. For example, my cousin has French-Canadian ancestors who lived in the same towns in Quebec for several hundred years. As such, he has several predicted close matches that are actually just showing the high amount of shared DNA from having ancestors from these towns.
Do both you and your match have your trees back to your respective great-great-grandparents?