I think you should ask. Mistakes do happen.
Considering you think you get on well and she gave out other invitations in front of you and you have no reason to think you would be purposely be excluded and treated nastily, then assume the positive interpretation and that a mistake has happened.
People are quick to say she's no friend of yours, a user and you should stop giving lifts. People leap to the negative conclusion with very little info.
If you genuinely have considered yourselves to be good friends and were very surprised by the others being invited and not you, then broach it, either yourself or so one of the others to.
Have you mentioned to the others that they were given invitations but not you - ask if they noticed and what they think about it. You could raise it with her in the car when giving the lift....you are driving so no eye contact needed. Simply make a light hearted passing comment, not a big deal, emotional thing....'everyone's really excited bout your wedding and it's been great hearing about it from you each week. I know numbers need to be limited, but can I just check if I'll be getting an invitation too - as I saw you give them to the other team members'
Until you hear an answer to the question, keep an open mind. Don't decide she's a bitch. If she says you're not invited, listen to whatever reason is given, hold your head high and simply say you hope she has a great day.
If she says something mean or unkind, you can then decide if you want to continue with lifts.
However, given you say you've been friends and assuming you are accurate in judging that, I'd expect there has simply been an oversight or error, so don't get upset.
Or is there a chance you have seriously misjudged your friendship and aren't very good at reading signals about things like this? It can happen.