If she gets along with your other cats then after you have her a month and then go back to work she MAY be OK because she has the company of your other cats while your gone.And it would be wise to take her as soon as you get home from work so she has that full non work time to spend with you and getting to know your home and other cats.
I have a very old NEW cat that I just picked up at the shelter and I'm so surprised at how well she is taking to me.She's between 8 and 12.But she's doing great.She's not crazy about my others so I keep her in the mudroom like I did Jasmine at first and eventually I think she'll be OK to come out a few times a day.
But I would give it a shot Laura...if it doesn't work out...someone here on Pettalk would LOVE to take her in if all she wants is human company and sleep all the time.
Good Luck.And I really would at least try it for kitty boo