Hi, Diane....I'm sorry to hear you're feeling down right now, but please know you are not alone in this. Even people who are not in recovery are having bouts with depression because of the sudden and dramatic changes to our way of life because of COVID.
It doesn't help that you're not home in your own surroundings. And you recognize that it's an awkward arrangement to have your mother caring for you at this point in your life. But think about what a rewarding experience this must be for her. At 88, she is a nurturer again to her beloved daughter. You two are making memories that will be with you forever. I can promise that later you will treasure this time you spent together. In fact, you might want to journal about it (you can do it here in your thread if you like) to write down some of the caring or funny things that happen each day. After the time is over and you're home, you'll forget all those little moments. Years from now it will be wonderful to go back, read them again, and remember these points in time.
After all you and your hip have been through the past year, two months out from your surgery really is early in the recovery process. I'm sure you know that and maybe even you're not happy that you cannot move along faster, but your body is in charge here. Be consoled knowing it knows how to heal and will take care of that for you. Our bodies are true miracles!
I think your idea of the pool exercises is a good one. My only caution is for you to start off VERY slow and easy. The water supports you and allows you to move better than on dry land, so it's easy to overdo your pool time if you're not careful. See how you feel after each therapy session and observe whether you have any pain or discomfort the next day after one of them. That would indicate you need to scale back for a while. I suggest a program of the water exercises on Mondays and your regular therapy on Thursdays to start.
As Layla mentioned in her post above, some of those exercises your therapist is having you do can irritate sensitive tissue especially in the early recovery days. If you find yourself with any pain the day following a session, let your therapist know and make adjustments. That pain would mean your body isn't quite ready for that particular activity just yet.
I hope you're granted the approval to bear more weight. That will make you feel less restricted and it will help with your hip tilt. I know the leg discrepancy is getting to you, but it really cannot begin to resolve itself properly until you are able to walk with a normal gait. As long as you cannot fully weight bear, that's not possible, so it's going to require patience until you get to that point. But, I promise we'll have a giant virtual BoneSmart celebration on the day your surgeon says to start walking normally again.
Please lean on your BoneSmart family for mental support and maybe a diversion or two during the day with an update on how you're doing. That's what we're here for and .... believe me .... each of us understands what you're going through!