Whenever I’m focusing on trying to portray that my strong female character is ‘strong’, I probably spend more time avoiding cliches than anything. I’m not particularly interested in the ‘man in woman’s clothing’ kind of character (if we’re talking a cis-gender female, that is) - I think the extremes of this kind of character comes off really inauthentic. So, I think it’s really important to try to balance masculine and feminine strength qualities. For instance, at the same time that maybe they can fight through a broken nose, maybe later when they are alone trying to break it back in place - they cry. Whether it’s warranted or not, the act of crying is often seen as a feminine quality and I feel not losing that can be a tool to keep the character a strong female and not an overly stoic Mary Sue - but that’s not necessarily a hard and fast rule.
Overall, my advice is that you always remember to keep your character a woman even while you make her powerful and strong. How you do that and for what reason, that’s up to you.
Just because your strong woman is a dominant, fearsome martial artist doesn’t mean she has to be the more dominant or aggressive one in a romance. She could be shy and submissive.
Just because she shrugs off a cut across her back doesn’t mean she needs to just as easily shrug off the death of a friend, and vice versa.
Just because she is strong, mentally and physically, doesn’t mean she can’t also be soft mentally and physically.
All these rules basically apply to men too, but people tend to falter when it comes to rendering genuine strong women rather than genuine strong men.