Is there something wrong with me that I feel this way?

My dad died last winter, and now my mom is on hospice, and they think she maybe has a week at most to live. We (the family) have been seeing the writing on the wall for awhile, so it didn’t come as too much of a shock when they told us late last week about this timeline. Also, I guess in some ways I’ve been saying goodbye to my mom for some time now. She has dementia, and though still relatively able to converse and recognize us, I knew it was only a matter of time.
On top of all this, I know she’s ready to go. She cries all the time because she misses my dad. Now, I’m sure there are many people that don’t believe as we do, but I know she will see my dad again in heaven. (Let’s just leave it at that. You don’t want to fight with me on this right now.) She’s also in some pain from a non-healing wound she has, although she’s on morphine, so that helps a lot.
I don’t want my mom to die, certainly, but I want her to have peace and I don’t want her to be suffering any more. I don’t say that out in the open much, because I feel most people would think there’s something wrong with me. Certainly if they’ve not gone through something similar, they probably wouldn’t.

My work told me I could take off, (or work different hours, work from home, etc.) The thing is, right now it would stress me out more to have to show someone the ropes of everything I do, rather than to just come in and do stuff (or from home.) The one person who would be a good substitute, is actually leaving to go out of town for a week as of tomorrow, and I can’t fathom trying to figure out how to teach someone else everything in very little time. Plus, honestly, I’d rather just stay busy. I only work 18 hours/week anyway, and I’m surrounded by some very supporting people at my job.
So is there something wrong with me that I would just as soon keep on working? Should I just take off anyway? I would worry that everything was getting done properly, and would probably have to field a number of phone calls and emails, so I’d rather just do it myself.