yes it will fit just fine

Richard, yes, this model is designed for the SD9 Series Pistols. I would also recommend going the extra mile and getting a Green Laser which works a lot better in daylight and easier for the eye to pickup in all conditions : ebay.com/itm/184379011687?_trkparms=aid%3D1110006%26algo%3DHOMESPLICE.SIM%26ao%3D1%26asc%3D232897%26meid%3De86a15c75baa479d9604da0ed0f06a2e%26pid%3D101195%26rk%3D1%26rkt%3D12%26sd%3D303550993658%26itm%3D184379011687%26pmt%3D1%26noa%3D0%26pg%3D2047675%26algv%3DSimplAMLv9PairwiseUnbiasedWeb&_trksid=p2047675.c101195.m1851&amdata=cksum%3A184379011687e86a15c75baa479d9604da0ed0f06a2e%7Cenc%3AAQAGAAACAJpdOD7CtrcuoI3V%252BcJrxN8wMeA5jaoATIAyX%252BME36rSTs34ASzcGXF0sT%252F%252FPidYzv0DAd8aTEzCmPZ1Pc1qeGmgTdf84GZ8unWFjKi5gUchB%252Fliint1mhJDLdByna%252FAT1PsEQoyLXHQYezTFtKieUKFoE2aKm7%252B2tcIeN0gO0uX8eK9xuq0UJlFOL7j6ezJhNjiu5Unnxl0wco77W9dTSHHLAeiGTLBLa%252BEiwigf%252FZo58uwa17zHwxTvKl6mRevQjf3OdffkQh2RMuOCsx8WkmmY9oNtPkoDj%252FMftGt5L%252B15LnV4Pyd0Uf%252FjPId9klOwBalsqQcu2PCeG%252B1rNXyrQpJsUsJ81X3y9S8MpQ2WZKaTwfkmumVfJLIUJ29tTpFFeKKVXjaHfUN3l4pZyoaoyUPVlRBBvNoxnZ9YHHasVCH6ZDEWPDe4k9QysPpXoC1pBj6UNPB50WgmmxCr0Webjiy%252Fbqa5MGxy%252Fvng4OIDtIgnRB2WNh5BIYZdpZW6e9s5HmoZbB554T1Thh6UIGRO9eQ9A10GQ1kKm1QOSrInO1OxpoWWWrLLmcTH%252FDZSBAyB07giK96OOSkompw92TPCJgT%252BK4W%252FAtrIHvQDaLQIWbk6UbERCZjb%252FxwQP82fbbKGQmeLNj7GIzpj948KrYH%252FWSEMByRQA9Kai5iDcSb4TBy%7Campid%3APL_CLK%7Cclp%3A2047675&epid=6042595217

For a light laser combo id also look at the Streamlight TLR8 it comes with rail adapter keys and the one labeled "TSW/99" will adapt streM light (Tlr1,2,7,or 8) lights to smith and wesson non- standard rails
Buds has the tlr8 in red here
budsgunshop.com/product_info.php/products_id/100844 />------------
And green here
budsgunshop.com/product_info.php/products_id/714019892 />Good review of the Tlr7 (which is a tlr8 but without the laser) on the sd9ve here
https://youtu.be/3Lm8xQ7vmyY

Yes that model of crimson trace laser sight will fit the SD9VE, and is in stock here.
opticsplanet.com/crimson-trace-red-laserguard-s-w-m-p-m2-0-fs-compact-lg-362.html