The basic idea of the style is that it's in 3/4 time (or other triple meter), with accents on beats TWO and THREE.
The accents are what makes it feel unbalanced. You are probably used to waltz style, where the accents are on ONE and THREE. As such, it may be easy to mistake beat 3 of a mazurka for beat 1 of a waltz, since those accents are in the same place if you phase the mazurka by a beat.
I haven't played too many mazurkas, but I have lots of experience with "weird" 3/4 time with subdivisions and accents that differ greatly from regular waltes, so mazurka rhythm doesn't bother me. What I would suggest you do is listen to some artist recordings of Chopin mazurkas while following along with your score (so you don't get lost in the rubato), and speak along "one TWO THREE one TWO THREE" to get yourself used to the pattern of accents.
"But how is that meter musical," you may ask ask "without an emphasis on the beginning of each measure?" The reason is the harmonic rhythm. The style might not accent the beginning of each measure in terms of dynamics, but if you follow the harmony through each measure, you will hear that it lines up with what you might expect from 3/4 time. In fact, many of Chopin's mazurka left hand parts follow the same "BASS chord chord" (or "BOOM chik chik") pattern that you are used to from waltzes.