I don't see how it could NOT be infinitely large. If it's not infinitely large, then it has a shape, which begs the question, "What's outside that shape?" Of course, most of it may be devoid of stars.
What's outside that shape?The Prime Mover ...
Minor point... Even if it is infinitely large it can have a shape. For instance, A sphere with an infinitely long spike, or spikes, on it.