I learned from loggers here in Ohio about using wedges. They aren't a solution to everything, but many, many trees can be moved quite a bit with wedges. OP said his was nearly straight...wedges can be that little extra "insurance". I use them all the time just to make sure... But a rope comes out if it needs serious pull in the other direction (I don't have a skidder like the loggers who taught me to use wedges
).
Was administering a job being logged with horses last week. They had a tree leaning to the field that they wanted to fall into the woods. They used a big shot to set a line about 1/2 up. Ran the line through a snatch block to redirect and then hooked it to the horses who pulled out into the field to get the tree to go in. Amazing what 3 HP can do.