So far, all other avenues she and her bold Brexiteers have followed looking for trade deals have included the proviso from the other parties that freedom of movement (for employment) must be included.
So that will potentially leave the UK at the mercy of "Mr. Dealmaker" Trump, who doesn't know diddly about the ins and outs of international trade and isn't known for striking fair deals with business partners in the past.
Forgive those of us who haven't drunk the Brexit Kool-Aid if we don't find this a particularly attractive prospect (you're replying in the UK Group, so it feels funny for it to be referred to as "their business" .
As for "independence" from the EU, are you having a laugh? May's already backpedaling (as reality slowly dawned) from her earlier stance that "no deal is better than a bad deal" and that the UK could have its cake and eat it (trade with Europe without freedom of movement). As it stands, and as the government have conceded, that would mean the UK having even less of this independence, as it would have to comply with EU trade rules without, unlike now, any way of influencing them.
Reaction to part of today's May speech to Parliament:
Jim Waterson ✔ @jimwaterson
Theresa May says she knows UK companies will have to obey by rules set by EU over which UK will have no control. "We will accept that."