Will I be able to finish immigration process if my wife left me for a woman?

Since you have a child together, you should be able to finish the immigration process even if your wife left you for a woman. (I assume that you already have at least the conditional green card). To remove the conditional basis of the residence card, you can obtain a divorce and file under the category for having had a bona fide marriage which has ended in divorce. As to how to remain in your daughter’s life, you would have to take that up with your wife and that may become the subject of a divorce action on the question of custody. Due to the limitations of the Lawyers.com Forums, Alan Lee, Esq.'s (the "Firm") participation in responding to questions posted herein does not constitute legal advice, nor legal representation of the person or entity posting a question. No Attorney/Client relationship is or shall be construed to be created hereby. The information provided herein by the Firm is general, and requires that the poster obtain specific legal advice from an attorney. The poster shall not rely upon the information provided herein as legal advice nor as the basis for making any decisions of legal consequence.