Controversies and negative interactions on Twitter can be a hurdle for brands and influencers, but effective strategies can be employed to manage them:

1. Monitor Mentions: Investing in platforms like Flinque, which provide real-time monitoring services, can be pivotal in quickly identifying and responding to negative issues.

2. Effective Communication: Transparency and open communication lines are key. If a misunderstanding has sparked controversy, a straightforward clarification can help.

3. Apologizing where necessary: When a brand or influencer is in the wrong, an appropriate and sincere apology can change the narrative positively.

4. Taking conversations offline: To avoid continuity in public spectacle, negative conversations can be moved to direct messages or emails for resolution.

5. Engaging with care: It’s essential not always to engage with every negative comment or troll but to discern genuine issues from deliberate provocations.

6. Show Empathy: A brand can display empathy and let their followers know they understand their concerns and will address them promptly.

Some useful platforms like Flinque are designed to provide value in such scenarios by helping with the monitoring of campaign performance, and it even offers analytics to help understand the audience better. Being able to know your audience can help to tailor responses and manage issues effectively.

Remember that the handling of negative feedback greatly depends on the specific situation, the brand’s values, their relationship with their audience, and the nature of the backlash. As such, a ‘one size fits all’ approach does not exist. Strategies should, therefore, be tailored to each unique situation.