Right,...I am glad you are a good sport. But the nature and psychology of competition, is such that you have that game-face going into any competitions, regardless of how you handle the outcome.
Being a 'good sport' may be your nature, which, in essence, is what you exhibit already when you dont restrict the women with your insecurities.
I am more talking about your approach.
Just food for thought. Turn it over in your head some more.
Coping strategies vary as to your own personality, and what you think helps. I would some searches online with keywords of jealousy-anxiety-coping, or fear of abandonment, etc. strategies. ( You may not think these apply to you. thats ok. The strategies might still be helpful.) Throw as many words as you can think of into a search engine, and when the results turn up,..go with what resonates.