Welcome to the forum!
If you want a ThinkPad with a fingerprint-reader, then I really think it would be easier if you "just" bought one with that, in stead of one without, and then upgrading yourself (if possible)... But! This is not what you asked, so let me try answer your specific question!
If you go to
www.ibm.com and enter 2669-84U in the upper, right "Search-field", and choose the first hit, then that wil take you to the
Product support page for T43 model 2669-84U where we will read:
Product: ThinkPad T43 2669-84U [change]
Operating system: All [change]
Original description: P M 750, 512MB RAM, 40GB 5400rpm HDD, 15 SXGA+(1400x1050) TFT LCD, 64MB ATI Radeon X300, 24x24x24x/8x CD-RW/DVD, Intel 802.11b/g wireless(MPCI), Bluetooth/Modem(CDC), 1Gb Ethernet(LOM), UltraNav, Secure Chip, 6 cell Li-Ion battery, WinXP Pro
... so indeed, this T43 does not come with a fingerprint-reader. Now, we need to find out if the motherboard
does support a fingerprint reader or not.. if not, you're out of luck. OK, then how to find out anything about the motherboard in this T43?? Very easy!

Do this; either go to
Hardware Maintenance Manual (July 2005) - ThinkPad T43/p (2668, 2669, 2678, 2679, 2686, 2687) or go to
System service parts - ThinkPad T43, T43p. On any of these pages, we need to find out what motherboard is in a 2669-84U... and by scrolling down to item # 15 you will see that for the following models:
2669-CTO, 42x, 43x, 44x, 46x, 4Dx, 83x,
84x, C2x, C3x, C5x, C6x, C7x, C8x, C9x - the motherboard with FRU (Field Replacable Unit) number
39T0476 is used - being described as: "System board assembly ATI M22-64" ... with
no fingerprint-reader mentioned. In contrast, the FRU 39T0324 (just above) is listed as "System board assembly, Intel 915GM, Gigabit Ethernet with security chip/fingerprint reader".
The above may probably seem like bad luck, I guess...
If you had chosen a T43 with an Intel GPU, then you would have been able to upgrade your T43 to having a fingerprint-reader, as described in
underclocker's recent thread:
T43 - easy fingerprint reader upgrade. As your T43-to-be however has the X300 GPU, this suggestion does not seem to be of any use...
Subsequent update: I just came across the following thread - which may perhaps be of your interest:
14.1" T43 - 2668-71U - $375+shipping - NEW 120GB HDD... What's quite interesting is that this T43 (2668-71U) according to the Service Parts site also has the
39T0476 motherboard, exactly as "your" 2669-84U, and since the
2668-71U indeed
comes with a fingerprint-reader, then "your" motherboard obviously support it! Good news, finally?!
Johan