They are wary of alcoholics and of being abused. The same physical characteristics which might make American women shun many men do not matter in the least to a Russian. It is the heart which matters. They also are wary of men too young as they fear a young man might still want to sow his oats. They prefer men more mature.
Russian women are really quite adaptable.
Once they get over the first bout of home sickness, they readily take to their new lives. English is easily learned, as is cooking new styles of food for their husbands. Yet they never lose their basic characteristics which attracted the men in the first place. The Russian women who join agencies tend to be well-educated, capable women. They do need to rely solely on the husband but are able to contribute to the family.