I Googled 'parts for singer futura ce200'
One of the first offerings says [PDF] CE-100 CE-200
which sends you to
www.parts.singerco.com/CPpartCharts/Quantum/Futura_CE200.pdf
That's a complete exploded diagram of your machine, with the parts list.
somewhere on the singerco website is says you can buy parts.
The spacing between the two sets of contacts on the connector you show looks unusually
large, so it may be a proprietary connector to Singer.
I don't know where you pulled the cable from, but it looks to me like you're holding
Singer Part #86263 Main shaft sensor harness
You should check the on-line drawings to confirm that.
Simply as a safety issue, if you can afford it, I'd buy the connector already installed
on the cable, and replace the assembly totally.
That's my two-cents worth.
My third cent is, that if Singer charges too much for the part you need, to check on-line
for other sewing machine parts supply sites, where you might find a better price.
Good luck