Your daughter can file an immigrant petition for you. It should be submitted together with your applications for adjustment of status, work authorization, and travel document. If all the documents will be prepared correctly, you should receive a green card within 10-14 months.
Your question requires an attorney consultation. It is not a simple question that can be answered on this type of forum. There are many factors that would need to be considered and evaluated. If your daughter is over 21, she can petition you. If not, you would need to either find qualified and willing to petition you or see if you qualify for another form of immigrant visas. I suggest that you contact an experienced immigration attorney for a face-to-face consultation and give him/her all of the facts surrounding your situation. (S)he would then be in a better position to analyze your case, advise you of your options and, if possible, make sure that the necessary paperwork and documentation is properly presented so as not to delay the process.
Generally, a U.S. citizen age 21 or older may apply for a parent to adjust status in the Immediate Relative visa category to become a Permanent Resident (to get a "Green Card"). There are many other details that can determine whether one is eligible for such an application, and it would be wise to consult with an immigration attorney who, after learning all of the relevant information, could advise about eligibilities, options and strategies and offer legal representation in the process. Some immigration law firms, including mine, offer legal services on a "flat fee" basis so that a client will know the total expense from the very beginning, and a few immigration law firms, including mine, offer an initial consultation free of charge.
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