On Friday, a spokesman for Mr. Lloyd’s agency declined to comment on his views on abortion. In October, a spokesman told The Washington Post: “When there’s a child in the program who is pregnant, he has been reaching out to her and trying to help as much as possible with life-affirming options.”

“He by law has custody of these children,” the spokesman continued, “and just like a foster parent, he knows that that’s a lot of responsibility, and he is going to make choices that he thinks are best for both the mother and the child.”

The Trump administration had originally opposed a federal judge’s order on Monday to allow Jane’s abortion. Then, for reasons it has not explained, it dropped its legal appeal, clearing Jane’s path. (She still faces the possibility of deportation.)

Government lawyers had pushed to keep Mr. Lloyd’s memo sealed in court, but agreed to release part of it on Thursday after the A.C.L.U. argued for its unsealing. The group has filed a class-action lawsuit challenging the agency’s policy.

Though Jane’s lawyers have disclosed almost no information about her out of concerns for her safety and privacy, Mr. Lloyd’s memo sketches the outlines of her situation. She told shelter workers that she had been raped in her home country, and though she had a boyfriend with whom she had had sex, both she and federal officials came to believe, based on the timing of her assault, that her pregnancy resulted from the rape. She arrived at the border several weeks after the attack.

When the shelter confirmed that she was pregnant, she asked for an abortion, only to change her mind after she said her mother had threatened to beat her if she got one. A few days later, however, she decided that she wanted it, and later threatened to hurt herself if she did not receive it. She was nearly 22 weeks pregnant when Mr. Lloyd said no.

Mr. Lloyd’s memo describes the abortion procedure, known as dilation and evacuation, that she would have to undergo at that stage of pregnancy as “one that even many abortionists find troublesome.” He cites anecdotal evidence, “impossible to ignore,” that abortions can be a “devastating trauma” for women, even as he concedes that “formal research on this matter appears to be sparse.” An abortion would not only fail to erase her trauma, he wrote, but also might “further traumatize her.”