Whether or not you can still be friends with someone even if you don't like their other friend depends on several factors, including the nature of your friendship, the reasons for disliking the other friend, and your ability to handle the situation maturely. Here are some points to consider:
Nature of Your Friendship: If your friendship is strong, based on mutual respect, trust, and understanding, it may be possible to maintain the friendship despite not liking their other friend.
Respect Boundaries: You can maintain a respectful distance from the friend you don't like, and focus on nurturing your friendship with the person you do like. Avoid involving yourself in any conflicts or negative situations related to their other friend.
Focus on the Positive Aspects: Concentrate on the aspects of your friend that you value and enjoy. Remember why you became friends in the first place and the positive experiences you've shared.
Honesty and Communication: If your feelings about their other friend are causing tension in your friendship, it might be worth having an honest conversation with your friend about how you feel. Share your concerns openly and listen to their perspective as well.
Avoid Badmouthing: Refrain from badmouthing their other friend, as it can create more conflicts and strain your relationship with your mutual friend.
Set Boundaries: It's essential to set personal boundaries and take care of your emotional well-being. If being around the other friend causes significant distress or harm, consider limiting your exposure to them.
Understand Differences: Recognize that people can have different tastes and preferences when it comes to friends. Just because you don't like someone doesn't mean your friend will feel the same way.
Mutual Friends vs. Individual Friendships: Remember that you don't have to be friends with all of your friend's friends. Sometimes, people have different social circles and friendships that exist independently.
Ultimately, the decision to maintain the friendship will depend on your ability to navigate the situation with maturity and emotional intelligence. If your feelings about their other friend are causing significant strain on your friendship or affecting your well-being, it might be worth reevaluating the dynamics and discussing your concerns openly with your friend. However, if you can handle the situation gracefully and focus on the positive aspects of your friendship, you may be able to maintain a meaningful relationship despite not liking their other friend.