David Shepherd wrote:Logic says that it is very unlikely for Hou Yifan to be paired against so many women,

Why should you think that, given that pairings are established in a deterministic manner based on results and relative seedings at the start of the tournament? You quite often get a run of opponents who are adjacent seeds. For those in say the middle, you win and get paired against someone 200 points higher. You lose and get someone 200 points lower. You win and get someone 201 points higher etc.

The starting rank is at

http://www.chess-results.com/tnr257693. ... t=0&wi=821
Hou Yifan is ranked at 22 with a rating of 2651.

She played opponents with rankings of

143 WGM Pourkashiyan Atousa 2303 IRI

85 GM Zhukova Natalia 2447 UKR

47 GM Muzychuk Anna 2558 UKR

51 GM Muzychuk Mariya 2546 UKR

5 GM Adams Michael 2751 ENG

81 GM Cramling Pia 2454 SWE

78 IM Ider Borya 2463 FRA

38 GM Ju Wenjun 2583 CHN

66 IM Batsiashvili Nino 2492 GEO

37 GM Lalith Babu M R 2587 IND

Apart from the first and fifth rounds, that's players in the rating range 2447 to 2587 and seeding range 37 to 85 which is where there's something of a concentration of female players.

In any event the only case to answer is whether the widely used FIDE pairing methods are appropriate for an event with a sizeable prize only available to some of the participants and not whether the organisers followed the results generated by the program. You could introduce a tweak that favoured or disfavoured FF pairings as against MF pairings, but I'm not aware of any pairing method which does this.