If you are living in an English speaking country and you have a strong accent, the likelihood is that you’ll be one of the brightest and best. You’ll have a good mind, which is often way ahead of your mouth’s ability to shape unfamiliar words.
Do yourself and everyone else a favour and slow down. Everyone will appreciate it if you take a bit more time. You’ll get more time to get your tongue around some of the more difficult English sounds and your listeners will have time to tune into your unusual word stress and intonation.
If you think about it when you first learnt to drive you didn’t hurtle down the freeway at 110km. No! That would be scary for everyone. Instead you lurched up to 20km in second gear on a quiet back road.
When we’re learning new language skills the thing we tend to overlook is that like driving they are just as physical as driving. Ok the muscles involved are smaller: tongue, lips, jaw, larynx and so on: but they’re still muscles and respond to training in just the same way.