I am currently using Armory 933 which was the old version before the original developer supported it. Will this version work with segwit.
That version will not work if you are using Bitcoin Core 0.13.1+ after segwit has deployed. If you use an older version of Bitcoin Core you will be fine. Transactions will work as they normally do as segwit does not change that. However you will not be able to make use of any of segwit's features.
I am afraid upgrading to a newer version since its still not fully tested and worried that it could steal my wallet.
Define "fully tested". The developers test it to the best of their ability and ask others to help test it. Unfortunately some bugs do get through, but those are usually just minor bugs, nothing major nor security related.
The code is open source, you can check to see if there is any wallet stealing part of it (hint: there isn't).