Wales' players attend a training session ahead of their Scotland match, which was called off later.
Four matches in total have been postponed in the Six Nations and are yet to be rescheduled.
However, the WRU confirmed on Friday, 24 hours prior to kick-off, that the match would not be played amid the coronavirus pandemic.
"It has been a tough week", said Davies in quotes reported by BBC Sport.
"We obviously followed the advice of the central government, Welsh government in terms of the scientific and medical evidence". Welsh officials were adamant they had done everything possible to get the match played as scheduled: 'Every effort has been made to stage this game and we appreciate that individuals will have been inconvenienced.
"We had an emergency board meeting to consider everything and we still thought, bearing in mind the advice we had, that keeping the game on was the way to go".
"The Premier League, for example, were carrying on but that had changed for maybe obvious reasons".
"I don't think we could've dealt with it any better".
"We spoke to the government this morning, who understood our position".
The WRU added that further announcements with respect to rescheduling the fixture would be made "in the coming days".
It becomes the fourth game to be postponed in this season's Six Nations.
Welsh Rugby Union (WRU) chairman Gareth Davies believes the right call was made after it was chose to postpone the Six Nations clash with Scotland.
"We support the WRU in the hard decision they have had to make and will continue to have strong relationship with them going forward".
With the British government opting not to ban large events, it seemed as though Wales' encounter with Scotland would go ahead as planned in Cardiff on Saturday.
There is no guarantee when any of the delayed games will be played, amid fears they won't be able to take place until October at the earliest so congested is the club and worldwide rugby union calendar.
The 2001 Six Nations saw three games delayed until September and October due to an outbreak of the highly contagious foot-and-mouth livestock disease.