Holding a baby until she falls asleep shouldn't be a big no-no. She needs some extra comfort now, and although it's a big change from what you're used to, it doesn't necessarily mean anything is out-of-the ordinary.
There are some great homeopathic remedies for teething, inluding chamomilla and Hyland's teething formula. These can help take the edge off without resorting to analgesics. You can find them at most health food stores, and big chains like Wild Oats and Whole Foods. They worked great for my two daughters.
Not everyone is comfortable with it, but it may help to try co-sleeping with your daughter. That way, you and she BOTH get what you need. She gets to know you're close, and you get some sleep.
Remember at this point in her life, crying is the only way she has to tell you what's wrong, and you are her single most important source of support and comfort. She will get through this, and knowing she can rely on you to respond to her needs will help her do so, and help develop a strong, trusting relationship between you.
Good luck with your business. It can be great to create your own opportunity to both support and allow you time with your family!