Conclusion: there is nothing wrong with you joining the sports club as mentioned in the question, and what you have mentioned about matters concerning which there are reservations can be avoided easily, praise be to Allah. And Allah knows best.

Women can play sports if they follow these guidelines: 1- Engaging in sport should be far removed from the eyes of men; 2- women should wear modest, covering clothing; 3- there should be no gambling or betting; 4- the sport should not lead to any argument or conflict; 5- There should be no playing of music during practice or games.