Got into a spat with SIL, how do I fix it?

Well, it happened, sil and I bickered, and if was in front of my fil at the hospital, I really regret it too. We had gone to visit the rehab options. I like A and B was the one all the nurses were advising (found out the hospital just began a contract with them) A and B both came and talked to him and us. But, B came back 3 more times just to "check" on him. To me it felt pushy, like a salesmen. The director of it even called to "update" me on his health since I wasn't there.
B notified us that discharge nurse said fil had picked them. None of us knew about that! Next day I went to visit and of course sil is there too. (several doctors and nurses thought she was his wife, since she is there 25/7) My husband and I wanted to know why he picked B. He said because he talked them and liked them. SIL said "I didn't see any difference in them." I replied "Really? I did." she said "Really, you did, like what?". So, I started pointing out the differences. Bigger rooms, separate dining hall, menu a la carte, more visiting rooms, homier decor etc.. She rolled her eyes and said I thought they were the same. I said I didn't think so. She said "Well, we know you are pushing A." I said "You asked me what the differences were so I was telling you." she said Tell him, I was getting huffy, it didn't matter to her where he went etc.. I just replied "You asked me what I saw was different." My fil said "Hey, stop this, it's about me" and was starting at me, so I got up and left.
My husband talked to him! I couldn't believe it. Told him he should have heard both options, otherwise, why did we tour them. Fil said I was trying to push A, hubby said no, she wanted to make sure you knew there was options. Said he thought sil was hovering to much and for 3 years we did fine taking care of them and now sil is acting like she is the only one that can. Fil said yes, but your wife doesn't get up until 9 or 10:00. Hubby said no she gets up at 5:30 with me. Hubby that just shows, he want and is loving the company of sil being there all the time. But, he asked him what are you going to do when she goes home dad? When your in rehab and she isn't there all the time? Sil has manipulated him into believing only she can take care of him, denies that she cared if the doctor called her or not, when that was upsetting her so much, when they called me. I want to see fil, but not sure if I'm even wanted around, seeing how they fil and sil believe I am being pushy. If anything, I've been walking on eggshells. Like my husband says, once she leaves, we are still here. I don't want to go visit and check on him, but I do. By the way she lives another state has husband, daughters and grandchildren and has been up here for 4 weeks straight. Never once going home. Is that not smothering? It's not like he is terminal. They are trying to get INR straightened out before the transfer him. I feel like cutting everyone off and stopping my stress before I go crazy. If she wants to deal with everything, fine let her.