Well, I think most 15 year old girls can be described as a bit difficult with the ability to be disrespectful,
The fact is, you are choosing your new husband over her. It's up to you to decide if that's okay, if you are right in doing that, if this is the best way to proceed, etc.
She will likely see this as abandonment for the rest of her life - and I think you should be prepared for that likelihood. You will be moving away from her during a very pivotal time in her young life -the end of her high school time when she will be making all the decisions daily of what she wants to do with her life.
Do you really want to miss that daily contact?
Most 15 year old teenage girls can be difficult and disrespectful at times- their hormones are raging and it it a difficult time for them. They do come through it though.
As RockRose said, if you chose the husband over your daughter, you must be prepared that she will possibly resent you for life over it. A friend of mines sister actually nearly had this exact same situation happen - my friend was a young adult but the sister was about 12 who went to live with her father. She's now about 26 and they have no relationship at all.