It depends on the design of the subwoofer's amplifier. Pretty much all modern, well-designed subwoofer amps have limiters in place to prevent you from outright destroying your sub. Most use "soft clipping" for when the signal calls for more power than the amplifier can deliver. And more and more, we're seeing companies use DSP processing or servo feedback to keep distortion well under control and over-excursion (aka. bottoming out the driver) a total impossibility.
But not all subwoofers have these features. Your Outlaw LFM-1 EX sub uses a BASH amp, which just has soft clipping and a regular old limiter. It's still possible to bottom out a driver with that design, but it's pretty much impossible to actually destroy the amp or the sub. It's technically still possible to cause some damage if the driver bottoms out. But if that had happened, you definitely would have known it! It's a very distinct sound when a driver bottoms out and you would know it if you heard it. The bass being "a little muddy" is absolutely nothing to worry about so far as damage goes. It indicates that you probably had a fair bit of distortion, but nothing that would damage your new sub
To be frank, in your room and with that sub, your ears are going to give out before the subwoofer does. So if you make yourself deaf by blowing out your eardrums, then you might have to worry that if you turn up the volume another 20dB or so, you might bottom out your sub