Hip pain from squatting

So I was on a heavy squat day yesterday in the 21 to Party program (21 sets between 5 and 1 reps each), and about halfway through I got a mild but sharp pain on my outer left hip. I didn’t feel any limitation in mobility or strength. It didn’t seem to hurt or get aggravated based on moving or walking or bending in any particular way so I finished up the days workout and got all my sets in. I wouldn’t feel it at all during the squats, but it was maybe a 2.5 out of 10 pain after each set. Again, it was sharp, intermittent pain but not difficult or severe at all.

This morning I woke under and it’s now a dull, fairly constant but barely noticeable pain, probably 1 out of 10. It’s almost like a got tackled on that side or had a slight fall. No bruise.

Never really thought about hip muscles or tendons. Is there such a thing as hip sprain or tweak? Should I ease up, or is it nothing? Is there a way to stretch whatever this ligament is?

I never know whether to work through certain things or take time to ease up. I’ve done the latter at times, but sometime it feels like it makes it even worse. I was making no progress and getting weaker when I was taking time off bc of golfer’s elbow and then found the do a million pull-ups treatment on here, and it totally set me right again so I’m now bought-in to working through certain things if possible.

Any tips / thoughts? This is the most consistent and heavy I’ve ever been in squats in my life so I’d really like to not take a break, but I also don’t want to really have a setback and have to take serious time off. TIA!