My deer mix with cows on the regular. They might not stay in the feeder pen when the cows close in around them. I am a firm believer you will cause more harm than good by running cows off.
I lived this very scenario this past deer season and could not disagree more.
I set up a new spot on the ranch I hunt at back in May/June of 2017. Plenty of deer and hogs through on a daily basis via cameras (one being cell so I see pics daily). Aug/September the cows started dropping by and by October were spending the night, leave mid-morning and return mid-late afternoon for the night.
Deer stopped coming, I mean completely stopped coming by the start of the season, not even a doe. Hogs as well. My last full sounder of hogs was October 29, with pics of another sounder on Dec. 4th. From Oct 29 through the season I think I shot 3 lone boars, with none on camera since mid-December. One boar appeared yesterday.
I stopped feeding corn after 1/7 for 2-3 weeks and the cows left. Starting throwing again late January and almost to the day, deer started showing again, in force and are there daily.
While I do believe the acorn crop hurt my corn attractiveness and the cold has helped it, I am 100% convinced the almost constant cow presence ran off the deer. Their re-emergence with the cows moving on is not just a coincidence.