The correct match for each woman tennis player with their country is as follows:

I. Daniela Hantuchova is a former professional tennis player from Slovakia. So, I matches with B (Slovakia).

II. Patty Schnyder is a retired tennis player from Switzerland. So, II matches with D (Switzerland).

III. Nadia Petrova is a former professional tennis player from Russia. So, III matches with A (Russia).

IV. Amelie Mauresmo is a former professional French tennis player. So, IV matches with C (France).

Therefore, option 3 (I-B, II-D, III-A, IV-C) is the correct answer as it correctly matches each woman tennis player with their respective countries. The other options list incorrect country matches for each player.