First: sorry you're here. Be sure to read everything in the Healing Library (on the left). There are also pinned posts at the top of this forum. Read everything there, too.
Second: you have a toddler, and right now, you are *the* safe, stable parent in your household. I'm not sure how aware you are of that yet, but you need to begin wrapping your head around it. If for no other reason than because your kid needs you to be strong.
This means: no drinking, first and foremost. At the very least, NEVER drink to excess. This is not the time for that. Make sure you're getting enough water and take care of yourself.
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She says apparently Person X calls everyone dear at work and she calls everyone Babe. Bullshit right? Please advise.
I kid you not, I knew a mile ahead of you typing this out that this would be what your wife would tell you. This is why, in a perfect world, you would have come here first and been advised *not* to confront her about that text. Obviously we're not in a perfect-world scenario, and it makes 100% sense that you confronted her.
Another thing you'd be wise to start recognizing ASAP is that, in the world of infidelity (ugh, welcome), everyone tends to follow a pattern that's been seen over and over and over again. WS's (wayward spouses) all say and do the same things, AP's (affair partners) all say and do the same things, and even BS's (betrayed spouses) all say and do the same things, at least at first.
This means a couple things for you:
1) Your situation is really not very unique at all. In fact, the coworker affair is probably the most run-of-the-mill affair story we read about on here. My ex-wife's affair was with a coworker, too.
2) The people here have an *incredible* amount of experience and insight into how to get you out of this infidelity situation. Often, we can tell you with 99% precision exactly what's going to happen next, if you give us enough info.
However, here's the tricky part: remember that pattern I mentioned above? You have one, too. All BS's do. Everyone posting here followed the basic just-found-out pattern, including me.
The path out of this shitstorm often feels extremely *unintuitive* and *wrong* to a freshly-betrayed person. I get it. It may take you a few days (or more) to really wrap your head around just what you need to do in order to have a chance at achieving whatever goal you currently have.
And what is that goal? There are only three possible goals, actually. They are:
1) Reconcile with your wife. This will take a lot of work, and it's not something you can do by yourself (your wife needs to come with you), but there are steps you can begin taking today to give you at least a chance at that. There are many happily-reconciled former BS's here.
2) Divorce your wife. This takes less work, but is generally the scariest option for a new BS. You can do this all by yourself, and there are steps you can begin taking today that will put you on that path. There are many happily-divorced former BS's here.
3) Do nothing, really. Sweep it under the rug, so to speak. Hope for the best, but probably share your wife from time to time. She'll see her boyfriend daily at work. Maybe you can overlook that. In this scenario, you don't have to even make another post here.
Real question: which one of these sounds good to you, and when do you want to get started? And what do you think you need to *do* to get started?
Don't fool yourself into thinking there's a fourth option. There isn't.
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Start here: recognize that as long as your wife is out of the house, she's in constant communication and/or contact with her boyfriend, and whether you want to believe it or not, they are making plans without your knowledge. They are figuring out how to protect themselves and throw you under the bus if they have to to save their jobs and their relationship.
So what do you want to do, and when do you want to get started? What support to you need?
I am not kidding: the people here can work through this with you step by step, no matter which path you end up taking.