Redro

Okay. I don't understand why you need to apply for an expedite (the reasons you'll provide to USCIS) if the court order removes any doubt you can move your child permanently to the US...

So, did OP make an error submitting the information at USCIS stage? It seems like maybe she should pursued permission after submitting the I-130s for her family members to avoid this issue? I'm not well versed in custody disputes but from the limited information given I believe moving her daughter to the US would be contentious even without the already established paperwork...

@Boiler do petitioners/ parents have to show they have permission at USCIS/ petition stage or do they show permission later (NVC/interview)?

Where do you plan on living and working after you complete your PhD? Back to Sweden or back to your home country (forgive me if my assumption you are not a Swedish National is incorrect).

Applying for an expedite won't delay your case. It might delay your case (at a later stage) if you inform them your daughter can only permanently move to the US based on the timeline and agreement you provided at USCIS level. The CO at your daughter's interview might request an updated agreement or a letter from her father stating your daughter is still allowed to leave to move to the US permanently. Because they are aware the agreement in its entirety has not been met... But, the CO might request that even without requesting expedite if the language of the agreement to allow your daughter to move isn't in the format they usually require... So, if the father enjoys being difficult obtaining the updated agreement/letter might delay the case.

When COVID happened many people were stuck in the US (through no fault of their own)- the US didn't care. People were hit with overstays even though there were no flights out...They were told they should have left the country or applied for an extension...

Thank you for finding it @Adventine... I was sure I had seen it but forgot where... as stated before we only showed about 6 months of statements at NVC.

When did you file the I-130s? Ignore USCIS processing times and expect visas to be in hand 18-24 months after you filed. You also might not be successful because processing times aren’t stable (as you’ve seen) and the processing times might DECREASE while your expedite is awaiting adjudication leading to a denial…

We used assets and did not show they had been held for 12 months. BUT, I think people get confused and take the instruction the assets should be held for the 12 months prior with the actual rule in the I864 “Financial sponsors can only include assets that are convertible into cash within one year and without considerable hardship or financial loss to the sponsor and his/her family.” Although, I feel I have seen the 12 month rule on the USCIS website but I might also be confusing the same two rules.

Probably not all of the petitions just the one... but I don't know if USCIS will look favorably on "I want my daughter to leave the UK before her father changes his mind." It would sound like a custody dispute/ the father only agreed to the child moving to the US temporarily. Also, I believe the I-130 is just the petition to establish whether the person in question is allowed to apply for a certain visa. The documentation you obtained is only at a later stage ( I believe at NVC or interview).

DS5535 is for additional vetting. Unfortunately AP of this type has no timeline. People from all over receive this paper but they do focus on people from certain countries and certain professions. The Canada Forum has a DS5535 thread and most people appear to file a mandamus lawsuit after 4-6 months... Here are some threads more threads explaining things

You need to show proof of savings. The last 12 months of bank statements showing the amount. If the money is in a foreign account you'll need to indicate how much is in the bank in US dollars.