Did you use UDT or UDT2?
It sounds like the first thing to do is get the tractor in a warm place (aka shop), get it thawed out by running the tractor for a while and see if things start moving. If there is a lot of water in the system, this is not ideal, so I would only do it enough to test. For larger hydraulic systems, I would pull a sample and have it tested for % water. Based on testing after things warm up, yours is likely small enough to just go ahead and fully drain and reservice with New or fluid and filter. Yes, if it was my tractor I would do a flush with a cheaper hydraulic fluid that meets the API first. Definitely a 'pay now or pay mor later' scenario.
No offense intended, but it astonishes me how many small tractor owners try to do things on the cheap then get upset when things go sideways.