Tell us, if taking taken to Shari'a courts, would the capital punishment be passed on her for adultery as you said?
And what's Shari'a provisions on the man who donated his sperm to the woman?
Would he be charged with adultery and punished accordingly?
Your facts clearly says its adultery and we all know adultery cannot be committed by one person.
So, you should have research thoroughly before coming up with that conclusion of tagging her action as adultery.the

In Shari'ah, evidences of adultery, is proving actual penetration of penis into the vagina and or certified pregnancy, or confession of cohabitation (sex). lace racer back homecoming garments of chiffon in short length

This is the position of the Shari'a.

Now: what is the process of artificial insemination of sperm into females womb?

Gynaecologist should come into this interaction to educate us how insemination is done.

Only then one can form a conclusion

Rahimat Omolara Abdullahi