I think it is a bad idea to keep a four month old dog in a crate all night. Dogs are social animals and are not shunned to a cave to sleep alone.
A Pomsky will be fine outside all night but she is never going to be housetrained if you revert to this now. She is probably going to be outside, feel alone, and start barking and howling. Are you ready to listen to your neighbors complaining about your dog barking all night?
If this were my dog the first thing I would do is housetrain her properly. You will have to wake up and let her out in the middle of the night for about a week.
After she is housetrained, if you want to leave her out when during the day there should be no problem. (You might need to worry about someone stealing her, of course. I do not know what kind of area you live in.)