The phrase "accepted for the first time" is correct and usable in written English.
It can be used to indicate that something has been approved or recognized for the initial occasion.
Example: "The research findings were accepted for the first time at the international conference, marking a significant milestone for the team."
Alternatives: "approved for the first time" or "recognized for the first time".
To become a model was to feel physically accepted for the first time in my life.
He also accepted for the first time that the newspaper industry should not have powers to veto members of the independent regulatory body.
The major new developments were that eurozone governments accepted for the first time that a Greek default may be inevitable and that the eurozone's €440bn euro bailout fund should be reconfigured to buy back Greek debt.
In an effort to end the bloody civil war, Libya's rebel administration publicly accepted for the first time yesterday that peace talks could start without Colonel Muammar Gaddafi being forced into exile.
A couple of years ago in Sweden, one such defense was accepted for the first time by a judge in the lower courts.
When that happened at the beginning of this year, I accepted for the first time I really seriously considered going.
In 1862 Drouyn de Lhuys accepted for the fourth time the ministry of foreign affairs a term filled with disappointments, owing more to external factors than to any bungling on his part.
"We accept for the first time a two-stage solution.
In this agreement, the EU formally accepts for the first time the authority of Israeli ministers over goods produced in West Bank settlements.
On the day his original trial was due to start in May, he produced a radically different account, accepting for the first time that he caused the injuries.
The new plan accepts for the first time that there should be cuts in the ten civilian ministries (dealing with disasters, construction, railways, home affairs and so on) that have their own military wings.
